Pith Number

pith:BI6GJZMI

pith:2012:BI6GJZMIOSKCOR23DLZNWPDOTK

not attested not anchored not stored refs pending

Cobordism obstructions to independent vector fields

Anne Marie Svane, Johan L. Dupont, Marcel B\"okstedt

arxiv:1208.3542 v1 · 2012-08-17 · 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{BI6GJZMIOSKCOR23DLZNWPDOTK}

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	2026-05-18T01:20:12.640887Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a3c64e588749427475b1af2db3c6e9a979e3b1fa723d60dfb8b69364f22a745

Aliases

arxiv: 1208.3542 · arxiv_version: 1208.3542v1 · doi: 10.48550/arxiv.1208.3542 · pith_short_12: BI6GJZMIOSKC · pith_short_16: BI6GJZMIOSKCOR23 · pith_short_8: BI6GJZMI

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/BI6GJZMIOSKCOR23DLZNWPDOTK \
  | 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: 0a3c64e588749427475b1af2db3c6e9a979e3b1fa723d60dfb8b69364f22a745

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "309a3e4b44de68487ea63210dd86cf294eedd24a7c2bcede3735d4b9ee14c0fb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2012-08-17T06:44:34Z",
    "title_canon_sha256": "58c67774435ee712058906c63f69daea3063c8a5629a2d6b29c06a7bd990baa6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.3542",
    "kind": "arxiv",
    "version": 1
  }
}