Pith Number

pith:AK7TJXGO

pith:2015:AK7TJXGO64LZNSDD3S7VZ3ZLT2

not attested not anchored not stored refs pending

Fundamental Group of some Genus-2 Fibrations and Applications

R.V. Gurjar, Sagar Kolte

arxiv:1512.08839 v1 · 2015-12-30 · 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{AK7TJXGO64LZNSDD3S7VZ3ZLT2}

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	2026-05-18T01:23:34.737120Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02bf34dccef71796c863dcbf5cef2b9e968e1fc3822e69d264eff95f2f404271

Aliases

arxiv: 1512.08839 · arxiv_version: 1512.08839v1 · doi: 10.48550/arxiv.1512.08839 · pith_short_12: AK7TJXGO64LZ · pith_short_16: AK7TJXGO64LZNSDD · pith_short_8: AK7TJXGO

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/AK7TJXGO64LZNSDD3S7VZ3ZLT2 \
  | 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: 02bf34dccef71796c863dcbf5cef2b9e968e1fc3822e69d264eff95f2f404271

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98316b70f4440a87438fccb38debda8e1b716010bfae2838352f6811e73f704d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-12-30T04:00:51Z",
    "title_canon_sha256": "94cf70c1eccb5f2f07b5fdd37cbcb6e84ba9fe08dc32f388a6d046b3892c0d03"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.08839",
    "kind": "arxiv",
    "version": 1
  }
}