Pith Number

pith:FVCDLGL2

pith:2010:FVCDLGL2ZSDYO36Q25F6YTK5YH

not attested not anchored not stored refs pending

Orientability and equivariant oriented cobordism of 2-torus manifolds

Soumen Sarkar

arxiv:1007.5105 v4 · 2010-07-29 · math.AT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FVCDLGL2ZSDYO36Q25F6YTK5YH}

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	2026-05-18T01:16:19.370438Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d4435997acc87876fd0d74bec4d5dc1fc133c2dc2d2524d16bcb7a5da3f6181

Aliases

arxiv: 1007.5105 · arxiv_version: 1007.5105v4 · doi: 10.48550/arxiv.1007.5105 · pith_short_12: FVCDLGL2ZSDY · pith_short_16: FVCDLGL2ZSDYO36Q · pith_short_8: FVCDLGL2

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/FVCDLGL2ZSDYO36Q25F6YTK5YH \
  | 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: 2d4435997acc87876fd0d74bec4d5dc1fc133c2dc2d2524d16bcb7a5da3f6181

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a4b33ff9802026b4f88066ac5cc40d30d38c8aaaacb39604720ac10175f32cb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2010-07-29T04:43:42Z",
    "title_canon_sha256": "dbc528e18a41f91eb62fcd21f82fb089f63000e14a7235cc6bde315acc962184"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.5105",
    "kind": "arxiv",
    "version": 4
  }
}