Pith Number

pith:MA6X5ODK

pith:2024:MA6X5ODKOF5UGHUTFX2TTHHDUM

not attested not anchored not stored refs pending

Geometric families of degenerations from mutations of polytopes

Christopher Manon, Laura Escobar, Megumi Harada

arxiv:2408.01785 v2 · 2024-08-03 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MA6X5ODKOF5UGHUTFX2TTHHDUM}

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	2026-07-05T09:54:45.915001Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

603d7eb86a717b431e932df5399ce3a33ce71404c7143996a060b958968992ad

Aliases

arxiv: 2408.01785 · arxiv_version: 2408.01785v2 · doi: 10.48550/arxiv.2408.01785 · pith_short_12: MA6X5ODKOF5U · pith_short_16: MA6X5ODKOF5UGHUT · pith_short_8: MA6X5ODK

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/MA6X5ODKOF5UGHUTFX2TTHHDUM \
  | 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: 603d7eb86a717b431e932df5399ce3a33ce71404c7143996a060b958968992ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91053890343258a452aa5fb6129f07db2a2b6b33069a02f7d0188d8ff35a40ed",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2024-08-03T13:43:29Z",
    "title_canon_sha256": "e4a38e12e167073f1bec4b938a09d831b84ac281645ee09730fb8a86d2f5f555"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.01785",
    "kind": "arxiv",
    "version": 2
  }
}