Pith Number

pith:67MP4HHM

pith:2024:67MP4HHMRIMDSDOCRLOPBKZLV6

not attested not anchored not stored refs pending

Asymptotic Behaviors of Moduli of One-dimensional Sheaves on Surfaces

Feinuo Zhang, Fei Si

arxiv:2406.11512 v1 · 2024-06-17 · 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{67MP4HHMRIMDSDOCRLOPBKZLV6}

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	2026-07-05T08:32:54.333465Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7d8fe1cec8a18390dc28adcf0ab2bafa892d162f56abee0843af20c55487e76

Aliases

arxiv: 2406.11512 · arxiv_version: 2406.11512v1 · doi: 10.48550/arxiv.2406.11512 · pith_short_12: 67MP4HHMRIMD · pith_short_16: 67MP4HHMRIMDSDOC · pith_short_8: 67MP4HHM

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/67MP4HHMRIMDSDOCRLOPBKZLV6 \
  | 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: f7d8fe1cec8a18390dc28adcf0ab2bafa892d162f56abee0843af20c55487e76

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e699e9149286b3719c8ea5d89bb0091bcd793541a772bf167fece5a61b864e0c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2024-06-17T13:19:09Z",
    "title_canon_sha256": "9b0308d7d948ef421f6796d9865e283aabd22ce7414c09a5ed6cc35e4b27075c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2406.11512",
    "kind": "arxiv",
    "version": 1
  }
}