Pith Number

pith:UN3M7CS6

pith:2013:UN3M7CS6HER6SMYNZBQX4BRWAN

not attested not anchored not stored refs pending

Proofs and generalizations of a homomesy conjecture of Propp and Roby

Dan Saracino, Jonathan Bloom, Oliver Pechenik

arxiv:1308.0546 v3 · 2013-08-02 · 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{UN3M7CS6HER6SMYNZBQX4BRWAN}

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	2026-05-18T00:13:38.394258Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a376cf8a5e3923e9330dc8617e0636037e71b7860e6393eb3547aa55b753a93e

Aliases

arxiv: 1308.0546 · arxiv_version: 1308.0546v3 · doi: 10.48550/arxiv.1308.0546 · pith_short_12: UN3M7CS6HER6 · pith_short_16: UN3M7CS6HER6SMYN · pith_short_8: UN3M7CS6

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/UN3M7CS6HER6SMYNZBQX4BRWAN \
  | 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: a376cf8a5e3923e9330dc8617e0636037e71b7860e6393eb3547aa55b753a93e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8283d986de10f533f7f6ac027a0ed68d216878d0d7139e64127d0933446fbdb7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-08-02T15:54:42Z",
    "title_canon_sha256": "5fcd8981d4160c6f669d477a6c72d826eb2df25370bb895828d51b0474f1ef7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.0546",
    "kind": "arxiv",
    "version": 3
  }
}