Pith Number

pith:PCEYAMWY

pith:2025:PCEYAMWY6K2VNI7PT7KWNPXHL4

not attested not anchored not stored refs pending

Constructive Degenerations and the Algebraicity of Limiting Hodge

Badre Mounda

arxiv:2507.15012 v1 · 2025-07-20 · 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{PCEYAMWY6K2VNI7PT7KWNPXHL4}

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	2026-07-05T11:40:16.694512Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78898032d8f2b556a3ef9fd566bee75f3d5bfc4f31c0a30ce9bcef7aa8e6d41d

Aliases

arxiv: 2507.15012 · arxiv_version: 2507.15012v1 · doi: 10.48550/arxiv.2507.15012 · pith_short_12: PCEYAMWY6K2V · pith_short_16: PCEYAMWY6K2VNI7P · pith_short_8: PCEYAMWY

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/PCEYAMWY6K2VNI7PT7KWNPXHL4 \
  | 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: 78898032d8f2b556a3ef9fd566bee75f3d5bfc4f31c0a30ce9bcef7aa8e6d41d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1396ac6ed73cbacdce77313a08d7a1ce0ff66b92ee784577dab09b7db15e4d96",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-07-20T15:38:23Z",
    "title_canon_sha256": "585a422e49a35af31ded75f0aba31e9514fe4ec14a2d0d5c44a672ce7a04f866"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.15012",
    "kind": "arxiv",
    "version": 1
  }
}