Pith Number

pith:BJJQRNCI

pith:2016:BJJQRNCI3KDWG3FUZQYASVCKXM

not attested not anchored not stored refs pending

On Primes, Graphs and Cohomology

Oliver Knill

arxiv:1608.06877 v1 · 2016-08-22 · math.CO · math.GT · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BJJQRNCI3KDWG3FUZQYASVCKXM}

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	2026-05-18T01:07:57.343232Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a5308b448da87636cb4cc3009544abb34c32c9ab312e874a61ba02f67165147

Aliases

arxiv: 1608.06877 · arxiv_version: 1608.06877v1 · doi: 10.48550/arxiv.1608.06877 · pith_short_12: BJJQRNCI3KDW · pith_short_16: BJJQRNCI3KDWG3FU · pith_short_8: BJJQRNCI

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/BJJQRNCI3KDWG3FUZQYASVCKXM \
  | 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: 0a5308b448da87636cb4cc3009544abb34c32c9ab312e874a61ba02f67165147

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a57b9d801083758556cc918cd8c4f40919088010fa89bccf2f8f696060c519e",
    "cross_cats_sorted": [
      "math.GT",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-08-22T01:49:23Z",
    "title_canon_sha256": "aa42de47ff6f34e7da25836382d8459d9042341c3ecbfb461f058dfc00787cf0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.06877",
    "kind": "arxiv",
    "version": 1
  }
}