Pith Number

pith:YXZY75D3

pith:2011:YXZY75D3WALRH3XPTYRUSQ47L5

not attested not anchored not stored refs pending

Semistability criterion for parabolic vector bundles on curves

Ajneet Dhillon, Indranil Biswas

arxiv:1103.1299 v2 · 2011-03-07 · 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{YXZY75D3WALRH3XPTYRUSQ47L5}

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	2026-05-18T04:10:34.342800Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5f38ff47bb01713eeef9e2349439f5f689f75bb5b3147a8b0fe159cca51d6e4

Aliases

arxiv: 1103.1299 · arxiv_version: 1103.1299v2 · doi: 10.48550/arxiv.1103.1299 · pith_short_12: YXZY75D3WALR · pith_short_16: YXZY75D3WALRH3XP · pith_short_8: YXZY75D3

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/YXZY75D3WALRH3XPTYRUSQ47L5 \
  | 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: c5f38ff47bb01713eeef9e2349439f5f689f75bb5b3147a8b0fe159cca51d6e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2de332c5c0504985955a5a0128a770f120b1239d0ddc1240bc085f9bbb79749",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-03-07T15:29:20Z",
    "title_canon_sha256": "7ced0a933f4a9d0808a0caa1946d3ca12284123614a64a7aecb7b37a00669b8d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.1299",
    "kind": "arxiv",
    "version": 2
  }
}