Pith Number

pith:DVU4NYPJ

pith:2025:DVU4NYPJIP3HECIHRFTBJXSEY4

not attested not anchored not stored refs pending

Ends of the strata of differentials

Benjamin Dozier, MyeongJae Lee, Samuel Grushevsky

arxiv:2504.21756 v1 · 2025-04-30 · math.GT · math.AG · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DVU4NYPJIP3HECIHRFTBJXSEY4}

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	2026-07-05T10:56:29.219574Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d69c6e1e943f6720907896614de44c715513b871a8f0b6aca5930a3118b6c50

Aliases

arxiv: 2504.21756 · arxiv_version: 2504.21756v1 · doi: 10.48550/arxiv.2504.21756 · pith_short_12: DVU4NYPJIP3H · pith_short_16: DVU4NYPJIP3HECIH · pith_short_8: DVU4NYPJ

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/DVU4NYPJIP3HECIHRFTBJXSEY4 \
  | 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: 1d69c6e1e943f6720907896614de44c715513b871a8f0b6aca5930a3118b6c50

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "140833a8e3371f6c51a702cd288495acf398b37fe78e88ab129700e020d85cb7",
    "cross_cats_sorted": [
      "math.AG",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2025-04-30T15:54:50Z",
    "title_canon_sha256": "2b7b16fbbcc800c8e7eace87996e87916abfa332ebfacac338d6b7225b465e0d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.21756",
    "kind": "arxiv",
    "version": 1
  }
}