Pith Number

pith:BWLKZP55

pith:2014:BWLKZP556E5VVJMA6R3TPHYGKA

not attested not anchored not stored refs pending

Toric graph associahedra and compactifications of $M_{0,n}$

David Jensen, Dhruv Ranganathan, Rodrigo Ferreira da Rosa

arxiv:1411.0537 v2 · 2014-11-03 · math.AG · 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{BWLKZP556E5VVJMA6R3TPHYGKA}

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	2026-05-18T00:43:09.798372Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d96acbfbdf13b5aa580f477379f06502f13c1cf202755788c8b33656cac0cfa

Aliases

arxiv: 1411.0537 · arxiv_version: 1411.0537v2 · doi: 10.48550/arxiv.1411.0537 · pith_short_12: BWLKZP556E5V · pith_short_16: BWLKZP556E5VVJMA · pith_short_8: BWLKZP55

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/BWLKZP556E5VVJMA6R3TPHYGKA \
  | 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: 0d96acbfbdf13b5aa580f477379f06502f13c1cf202755788c8b33656cac0cfa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3c634831248b6c5d93d7588e788d0e98f917f7f3ffb233d977cfe70b7e796f4",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-11-03T15:48:22Z",
    "title_canon_sha256": "8e76ac584c3d5085d217ae2af3f2e907d0a522e6baf3f679cb78f2acc85613b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.0537",
    "kind": "arxiv",
    "version": 2
  }
}