Pith Number

pith:AHQLO3UC

pith:2016:AHQLO3UC4J3C77U6TLOCJ6NZ6A

not attested not anchored not stored refs pending

Frobenius Stratification of Moduli Spaces of Rank $3$ Vector Bundles in Characteristic $3$, I

Lingguang Li

arxiv:1612.08213 v3 · 2016-12-24 · 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{AHQLO3UC4J3C77U6TLOCJ6NZ6A}

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	2026-05-17T23:57:15.890359Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

01e0b76e82e2762ffe9e9adc24f9b9f00da106d95a83c8342ba2df611e758f9d

Aliases

arxiv: 1612.08213 · arxiv_version: 1612.08213v3 · doi: 10.48550/arxiv.1612.08213 · pith_short_12: AHQLO3UC4J3C · pith_short_16: AHQLO3UC4J3C77U6 · pith_short_8: AHQLO3UC

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/AHQLO3UC4J3C77U6TLOCJ6NZ6A \
  | 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: 01e0b76e82e2762ffe9e9adc24f9b9f00da106d95a83c8342ba2df611e758f9d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d44c4d7da04cde154a859412fef4fa11ddff5ab0039e80e96d08a60893504dd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-12-24T18:02:06Z",
    "title_canon_sha256": "8c35613e047c6cd2b0b6960942f3a9e79faf7f342439ff7ff24086453cb3862f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.08213",
    "kind": "arxiv",
    "version": 3
  }
}