Pith Number

pith:DWVP7SRI

pith:2017:DWVP7SRI2G3IJPKP76VGU7M3W4

not attested not anchored not stored refs pending

A combinatorial model for the free loop fibration

Manuel Rivera, Samson Saneblidze

arxiv:1712.02644 v2 · 2017-12-06 · math.AT · math.CT · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DWVP7SRI2G3IJPKP76VGU7M3W4}

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	2026-05-18T00:07:55.418802Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1daaffca28d1b684bd4fffaa6a7d9bb70d8db665a3cf05b7b29e97953c19d07f

Aliases

arxiv: 1712.02644 · arxiv_version: 1712.02644v2 · doi: 10.48550/arxiv.1712.02644 · pith_short_12: DWVP7SRI2G3I · pith_short_16: DWVP7SRI2G3IJPKP · pith_short_8: DWVP7SRI

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/DWVP7SRI2G3IJPKP76VGU7M3W4 \
  | 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: 1daaffca28d1b684bd4fffaa6a7d9bb70d8db665a3cf05b7b29e97953c19d07f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0793ba32e629799442c250d92139d39c8d07bd42163552c77d0fd3f70d1a9daa",
    "cross_cats_sorted": [
      "math.CT",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2017-12-06T14:22:15Z",
    "title_canon_sha256": "43fb10d789f5075c344885fc81017bb353cbb14057d2df333fb7273c93a327e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.02644",
    "kind": "arxiv",
    "version": 2
  }
}