Pith Number

pith:UEU2CZIP

pith:2015:UEU2CZIPNZKVEKMJD26FBGNY77

not attested not anchored not stored refs pending

Takayasu cofibrations revisited

Dang Ho Hai Nguyen, Lionel Schwartz (LAGA)

arxiv:1501.00271 v1 · 2015-01-01 · 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{UEU2CZIPNZKVEKMJD26FBGNY77}

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	2026-05-18T02:30:09.706013Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a129a1650f6e555229891ebc5099b8ffea6651e4653be0f3a88aecd0c4bf8ea5

Aliases

arxiv: 1501.00271 · arxiv_version: 1501.00271v1 · doi: 10.48550/arxiv.1501.00271 · pith_short_12: UEU2CZIPNZKV · pith_short_16: UEU2CZIPNZKVEKMJ · pith_short_8: UEU2CZIP

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/UEU2CZIPNZKVEKMJD26FBGNY77 \
  | 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: a129a1650f6e555229891ebc5099b8ffea6651e4653be0f3a88aecd0c4bf8ea5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc5692a8249a62c3fd7fe5a45a2e20a104746336cb4c3290b6da1cf3de6409e2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2015-01-01T11:11:32Z",
    "title_canon_sha256": "b1f375a565975f62c8a772a24dec0dafe11d8450c7637c8863520b720932a193"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.00271",
    "kind": "arxiv",
    "version": 1
  }
}