Pith Number

pith:G6X4OMZO

pith:2015:G6X4OMZOX3HAQEJSESGPNBV5DV

not attested not anchored not stored refs pending

The signed random-to-top operator on tensor space (draft)

Darij Grinberg

arxiv:1505.01201 v2 · 2015-05-05 · math.CO · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G6X4OMZOX3HAQEJSESGPNBV5DV}

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.

Receipt and verification

First computed	2026-05-18T01:07:52.477764Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37afc7332ebece081132248cf686bd1d70542e2bc13e44e47616013bf6defe31

Aliases

arxiv: 1505.01201 · arxiv_version: 1505.01201v2 · doi: 10.48550/arxiv.1505.01201 · pith_short_12: G6X4OMZOX3HA · pith_short_16: G6X4OMZOX3HAQEJS · pith_short_8: G6X4OMZO

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/G6X4OMZOX3HAQEJSESGPNBV5DV \
  | 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: 37afc7332ebece081132248cf686bd1d70542e2bc13e44e47616013bf6defe31

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7de7baea2da03494ff290637d345a2c85abca8d6be8242df607c755ac3a7e7f6",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-05-05T22:10:25Z",
    "title_canon_sha256": "367c6f2dbd556c6d8e0088ccb49a097f3ca49c832c76b98256357d84aaec34ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.01201",
    "kind": "arxiv",
    "version": 2
  }
}