Pith Number

pith:BVCYH54R

pith:2012:BVCYH54RWAVMYEIYFUWQZ6ITWO

not attested not anchored not stored refs pending

Lifted generalized permutahedra and composition polynomials

Federico Ardila, Jeffrey Doker

arxiv:1201.2977 v2 · 2012-01-14 · 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{BVCYH54RWAVMYEIYFUWQZ6ITWO}

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	2026-05-18T03:32:57.166484Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d4583f791b02acc11182d2d0cf913b3acd9064c5ee129f70a621661abc49b61

Aliases

arxiv: 1201.2977 · arxiv_version: 1201.2977v2 · doi: 10.48550/arxiv.1201.2977 · pith_short_12: BVCYH54RWAVM · pith_short_16: BVCYH54RWAVMYEIY · pith_short_8: BVCYH54R

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/BVCYH54RWAVMYEIYFUWQZ6ITWO \
  | 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: 0d4583f791b02acc11182d2d0cf913b3acd9064c5ee129f70a621661abc49b61

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd90fb3691e30051607369645ee4f9b653a08c060a848d22be0569cba440bd55",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-01-14T02:07:46Z",
    "title_canon_sha256": "b144ff1632fb0e953347ed6c84b1062f5e7f90c3f8392dd7afca6512250f18b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.2977",
    "kind": "arxiv",
    "version": 2
  }
}