Pith Number

pith:PV5ZMAS3

pith:2016:PV5ZMAS3LSPOJGMYAGS34U2L65

not attested not anchored not stored refs pending

Stability for inner fibrations revisited

Danny Stevenson

arxiv:1608.07699 v4 · 2016-08-27 · 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{PV5ZMAS3LSPOJGMYAGS34U2L65}

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	2026-05-18T00:10:13.963419Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d7b96025b5c9ee4999801a5be534bf76ab34e8b0e44547b49c2cd062f5c476f

Aliases

arxiv: 1608.07699 · arxiv_version: 1608.07699v4 · doi: 10.48550/arxiv.1608.07699 · pith_short_12: PV5ZMAS3LSPO · pith_short_16: PV5ZMAS3LSPOJGMY · pith_short_8: PV5ZMAS3

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/PV5ZMAS3LSPOJGMYAGS34U2L65 \
  | 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: 7d7b96025b5c9ee4999801a5be534bf76ab34e8b0e44547b49c2cd062f5c476f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "629564210e9fa1b06d56c6770ce276ea0c5cebcb06d4038dc8a39b6e5910babb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2016-08-27T11:52:51Z",
    "title_canon_sha256": "693b78eae752a9b033bea137b7906b512383bb6f77b541e95687a07124a8a9fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.07699",
    "kind": "arxiv",
    "version": 4
  }
}