Pith Number

pith:XXDCSXKO

pith:2012:XXDCSXKOWJUJN35MGIFJKBEW5A

not attested not anchored not stored refs pending

Combinatorial study of colored Hurwitz polyz\^etas

Hoang Ngoc Minh (LIPN), Jean-Yves Enjalbert (LIPN)

arxiv:1206.1216 v1 · 2012-06-06 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XXDCSXKOWJUJN35MGIFJKBEW5A}

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	2026-05-18T03:54:05.490484Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bdc6295d4eb26896efac320a950496e825def4d015ace4993cd79e340b61d224

Aliases

arxiv: 1206.1216 · arxiv_version: 1206.1216v1 · doi: 10.48550/arxiv.1206.1216 · pith_short_12: XXDCSXKOWJUJ · pith_short_16: XXDCSXKOWJUJN35M · pith_short_8: XXDCSXKO

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/XXDCSXKOWJUJN35MGIFJKBEW5A \
  | 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: bdc6295d4eb26896efac320a950496e825def4d015ace4993cd79e340b61d224

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ecb32da8f21e05c6da08147d3f7b990d0340af47ae7886809220cb5e6d9a9c01",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-06-06T13:21:56Z",
    "title_canon_sha256": "49683d9326f4d61c8c7df2da23c287161fcb1c390d0be7ce8383f4b6654813a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.1216",
    "kind": "arxiv",
    "version": 1
  }
}