Pith Number

pith:7HAKE3U2

pith:2025:7HAKE3U2IMFX6KPQJ4ZF3IYRO7

not attested not anchored not stored refs pending

On the Clemens-Schmid exact sequence

R. Virk

arxiv:2509.03700 v2 · 2025-09-03 · 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{7HAKE3U2IMFX6KPQJ4ZF3IYRO7}

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	2026-05-17T23:39:17.602766Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9c0a26e9a430b7f29f04f325da31177e3a3a346b36d84b0be1dcb13e4b0a0cd

Aliases

arxiv: 2509.03700 · arxiv_version: 2509.03700v2 · doi: 10.48550/arxiv.2509.03700 · pith_short_12: 7HAKE3U2IMFX · pith_short_16: 7HAKE3U2IMFX6KPQ · pith_short_8: 7HAKE3U2

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/7HAKE3U2IMFX6KPQJ4ZF3IYRO7 \
  | 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: f9c0a26e9a430b7f29f04f325da31177e3a3a346b36d84b0be1dcb13e4b0a0cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08176104a67c94197ca94bae19055937dc065d4dd7f8eb82582b86a6b7dda7c9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-09-03T20:35:26Z",
    "title_canon_sha256": "b96ae84d798037d8a905c5f46dd3ba5cfc1be1974af50f9d5c08662b57992c21"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.03700",
    "kind": "arxiv",
    "version": 2
  }
}