Pith Number

pith:T6PBYRN5

pith:2017:T6PBYRN5Y2FULEO7FJUL4CTF2U

not attested not anchored not stored refs pending

Bipolar comparison

Anton Petrunin, Nina Lebedeva, Vladimir Zolotov

arxiv:1711.09423 v4 · 2017-11-26 · math.DG · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T6PBYRN5Y2FULEO7FJUL4CTF2U}

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	2026-05-17T23:48:11.950632Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f9e1c45bdc68b4591df2a68be0a65d51af5776f6871e5e55124f7d3778d54ba

Aliases

arxiv: 1711.09423 · arxiv_version: 1711.09423v4 · doi: 10.48550/arxiv.1711.09423 · pith_short_12: T6PBYRN5Y2FU · pith_short_16: T6PBYRN5Y2FULEO7 · pith_short_8: T6PBYRN5

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/T6PBYRN5Y2FULEO7FJUL4CTF2U \
  | 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: 9f9e1c45bdc68b4591df2a68be0a65d51af5776f6871e5e55124f7d3778d54ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c47c04f87a066aa7a14f667f1892d48bcadc461a9dedb7cf7480e12d9fe55215",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-11-26T17:08:39Z",
    "title_canon_sha256": "60e1d5faa9d826ddb1f8be5f9322466b5390d08ed454f14ba2e1b8bc8f291e19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.09423",
    "kind": "arxiv",
    "version": 4
  }
}