Pith Number

pith:7IM7CVDA

pith:2016:7IM7CVDAOS5RZ3L3JQDUUVQSCO

not attested not anchored not stored refs pending

Gregory's sixth operation

David M. Schaps, David Sherry, Karin U. Katz, Mikhail G. Katz, Piotr Blaszczyk, Semen S. Kutateladze, Tahl Nowik, Tiziana Bascelli, Vladimir Kanovei

arxiv:1612.05944 v1 · 2016-12-18 · math.HO · math.CA · math.LO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7IM7CVDAOS5RZ3L3JQDUUVQSCO}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

1 paper in Pith

Of pashas, popes, and indivisibles

Receipt and verification

First computed	2026-05-18T00:54:46.294912Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa19f1546074bb1ced7b4c074a561213a3de3532f4c885eb2fd8e87ce4427a79

Aliases

arxiv: 1612.05944 · arxiv_version: 1612.05944v1 · doi: 10.48550/arxiv.1612.05944 · pith_short_12: 7IM7CVDAOS5R · pith_short_16: 7IM7CVDAOS5RZ3L3 · pith_short_8: 7IM7CVDA

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/7IM7CVDAOS5RZ3L3JQDUUVQSCO \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: fa19f1546074bb1ced7b4c074a561213a3de3532f4c885eb2fd8e87ce4427a79

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5204bb1ea7af61f01e767801f610f9f9c839583e0c8a533cb27c5c8a6f4c9a93",
    "cross_cats_sorted": [
      "math.CA",
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2016-12-18T16:41:26Z",
    "title_canon_sha256": "5cc5582b1f5f06ecf6ad3cef1b91e5e0f29b92649671381a9097c23dfc8438c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.05944",
    "kind": "arxiv",
    "version": 1
  }
}