Pith Number

pith:POCITR63

pith:2015:POCITR63O5PULC2S5622PZ2UAJ

not attested not anchored not stored refs pending

On stability of non-domination under taking products

C. Loeh, C. Neofytidis, D. Kotschick

arxiv:1507.01413 v1 · 2015-07-06 · math.GT · 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{POCITR63O5PULC2S5622PZ2UAJ}

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	2026-05-18T01:17:52.737266Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b8489c7db775f458b52efb5a7e7540267244e199b0c71949c333fac0cb13751

Aliases

arxiv: 1507.01413 · arxiv_version: 1507.01413v1 · doi: 10.48550/arxiv.1507.01413 · pith_short_12: POCITR63O5PU · pith_short_16: POCITR63O5PULC2S · pith_short_8: POCITR63

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/POCITR63O5PULC2S5622PZ2UAJ \
  | 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: 7b8489c7db775f458b52efb5a7e7540267244e199b0c71949c333fac0cb13751

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7cb67b318c40b34ff87c8ca130600f4d584055530ef6e692c9be0419e1731b58",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-07-06T12:19:14Z",
    "title_canon_sha256": "5b088f11aa364942c5953329ddca886480556c7a820c1c7e6e78b00f870d4aa3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.01413",
    "kind": "arxiv",
    "version": 1
  }
}