Pith Number

pith:GQR6KANT

pith:2013:GQR6KANT4ZZTM26DOLHXI5ILT3

not attested not anchored not stored refs pending

A remark on singular sets of vector bundle morphisms

Maciej Starostka, Nils Waterstraat

arxiv:1312.4387 v1 · 2013-12-16 · math.AT · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GQR6KANT4ZZTM26DOLHXI5ILT3}

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	2026-05-18T03:04:34.628461Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3423e501b3e673366bc372cf74750b9ed1e2ea09252486445b2ab33a5904ac96

Aliases

arxiv: 1312.4387 · arxiv_version: 1312.4387v1 · doi: 10.48550/arxiv.1312.4387 · pith_short_12: GQR6KANT4ZZT · pith_short_16: GQR6KANT4ZZTM26D · pith_short_8: GQR6KANT

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/GQR6KANT4ZZTM26DOLHXI5ILT3 \
  | 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: 3423e501b3e673366bc372cf74750b9ed1e2ea09252486445b2ab33a5904ac96

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e067ea45bb6a4263c335833e6144bce9180ff9a40615ad523efad30d6ca4e5ca",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2013-12-16T14:53:16Z",
    "title_canon_sha256": "ed5cdc73a7f17f7259643d5a416390aa8c6b3906307461bc8b49ea20261fbae8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.4387",
    "kind": "arxiv",
    "version": 1
  }
}