Pith Number

pith:PPGAMHIL

pith:2016:PPGAMHILX6IMR7K3UCAWX76SFV

not attested not anchored not stored refs pending

Limit shapes via bijections

Igor Pak, Stephen DeSalvo

arxiv:1611.06073 v1 · 2016-11-18 · math.CO · 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{PPGAMHILX6IMR7K3UCAWX76SFV}

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	2026-05-17T23:50:16.560777Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7bcc061d0bbf90c8fd5ba0816bffd22d5972ada5de3686f3de04025886f872bb

Aliases

arxiv: 1611.06073 · arxiv_version: 1611.06073v1 · doi: 10.48550/arxiv.1611.06073 · pith_short_12: PPGAMHILX6IM · pith_short_16: PPGAMHILX6IMR7K3 · pith_short_8: PPGAMHIL

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/PPGAMHILX6IMR7K3UCAWX76SFV \
  | 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: 7bcc061d0bbf90c8fd5ba0816bffd22d5972ada5de3686f3de04025886f872bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28af90e732ea2d0bc8c56e05a1233789b67c468fadad31dbd65d85a195a5791a",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-11-18T13:49:21Z",
    "title_canon_sha256": "4efc81194347d03a14fe765b901de03dc7de318b40a3026791a59a713b84f3bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.06073",
    "kind": "arxiv",
    "version": 1
  }
}