Pith Number

pith:QZR35T4Y

pith:2015:QZR35T4YDMWEIUW2W3QYKQXN7H

not attested not anchored not stored refs pending

Increasing chains and discrete reflection of cardinality

Santi Spadaro

arxiv:1505.06251 v1 · 2015-05-22 · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QZR35T4YDMWEIUW2W3QYKQXN7H}

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	2026-05-18T02:03:47.792239Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8663becf981b2c4452dab6e18542edf9e0742fe62088d1ae9a091fe41199f33c

Aliases

arxiv: 1505.06251 · arxiv_version: 1505.06251v1 · doi: 10.48550/arxiv.1505.06251 · pith_short_12: QZR35T4YDMWE · pith_short_16: QZR35T4YDMWEIUW2 · pith_short_8: QZR35T4Y

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/QZR35T4YDMWEIUW2W3QYKQXN7H \
  | 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: 8663becf981b2c4452dab6e18542edf9e0742fe62088d1ae9a091fe41199f33c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c0c04264c5f7b453bb42dc2313467c67a77610feb58458ba2316a77463a529a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2015-05-22T23:52:42Z",
    "title_canon_sha256": "5f99f6100241cf8d504407d4263f21cc593a65e873b2d73a116f1a6955997c5b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.06251",
    "kind": "arxiv",
    "version": 1
  }
}