Pith Number

pith:BIG7CD2Q

pith:2014:BIG7CD2QLRWVAYZEJMM7UI3LIG

not attested not anchored not stored refs pending

Hopf Invariants for sectional category with applications to topological robotics

Jes\'us Gonz\'alez, Lucile Vandembroucq, Mark Grant

arxiv:1405.6891 v4 · 2014-05-27 · 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{BIG7CD2QLRWVAYZEJMM7UI3LIG}

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	2026-05-18T00:40:17.636222Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a0df10f505c6d5063244b19fa236b418b31767edc21b8db5fc62ff449798301

Aliases

arxiv: 1405.6891 · arxiv_version: 1405.6891v4 · doi: 10.48550/arxiv.1405.6891 · pith_short_12: BIG7CD2QLRWV · pith_short_16: BIG7CD2QLRWVAYZE · pith_short_8: BIG7CD2Q

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/BIG7CD2QLRWVAYZEJMM7UI3LIG \
  | 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: 0a0df10f505c6d5063244b19fa236b418b31767edc21b8db5fc62ff449798301

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "033d1e840186ed831278777ff628118035daf1bf4050ad044582dd963d288ea5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2014-05-27T12:50:56Z",
    "title_canon_sha256": "0d1d7016fd84a0f364330abbd3958a837852adec03211c744fc17dbcc4804f19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.6891",
    "kind": "arxiv",
    "version": 4
  }
}