Pith Number

pith:4OMSODLK

pith:2015:4OMSODLKFSK5AYJZ32EB2ZON2E

not attested not anchored not stored refs pending

Combinatorics of symmetric plabic graphs

Rachel Karpman, Yi Su

arxiv:1510.02122 v2 · 2015-10-07 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4OMSODLKFSK5AYJZ32EB2ZON2E}

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	2026-05-18T00:48:28.604433Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e399270d6a2c95d06139de881d65cdd10504184d28856028c5d44d369a28943b

Aliases

arxiv: 1510.02122 · arxiv_version: 1510.02122v2 · doi: 10.48550/arxiv.1510.02122 · pith_short_12: 4OMSODLKFSK5 · pith_short_16: 4OMSODLKFSK5AYJZ · pith_short_8: 4OMSODLK

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/4OMSODLKFSK5AYJZ32EB2ZON2E \
  | 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: e399270d6a2c95d06139de881d65cdd10504184d28856028c5d44d369a28943b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7e09cbe2e229b44c234c83766adf8998fa3ad738707f2a49eb4cf1aeb5956c5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-10-07T20:44:05Z",
    "title_canon_sha256": "dc1b37f6421f86c5df81ca9748c4df1dc1c4281352ef13db7748468abc0981fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.02122",
    "kind": "arxiv",
    "version": 2
  }
}