Pith Number

pith:77JFGCYM

pith:2017:77JFGCYMH4OLN6JJBKM66CC4TA

not attested not anchored not stored refs pending

The Prime Grid. Introducing a geometric representation of natural numbers

Istv\'an Kolossv\'ary

arxiv:1711.02903 v1 · 2017-11-08 · math.NT · math.OC · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{77JFGCYMH4OLN6JJBKM66CC4TA}

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	2026-05-18T00:31:01.394321Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ffd2530b0c3f1cb6f9290a99ef085c9837dd0e2eab6e1ac7125ec30fbd487ac9

Aliases

arxiv: 1711.02903 · arxiv_version: 1711.02903v1 · doi: 10.48550/arxiv.1711.02903 · pith_short_12: 77JFGCYMH4OL · pith_short_16: 77JFGCYMH4OLN6JJ · pith_short_8: 77JFGCYM

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/77JFGCYMH4OLN6JJBKM66CC4TA \
  | 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: ffd2530b0c3f1cb6f9290a99ef085c9837dd0e2eab6e1ac7125ec30fbd487ac9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2bea06bc2d1d12ee8c8df297d0918fb8a4fba8b6c5904f16162e97fe9ceeea77",
    "cross_cats_sorted": [
      "math.OC",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-11-08T11:01:40Z",
    "title_canon_sha256": "49896df196df493bf4936d3165ef3958a9f3f9025e30976dda8a7b55b95f329b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.02903",
    "kind": "arxiv",
    "version": 1
  }
}