Pith Number

pith:D4OKW77A

pith:2021:D4OKW77AWSWAVJ7CQM4FBSFJZO

not attested not anchored not stored refs pending

On the homological interpretation of the prounipotent completion of the fundamental group

Benjamin Enriquez (IRMA), Florence Lecomte (IRMA)

arxiv:2105.01338 v2 · 2021-05-04 · 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{D4OKW77AWSWAVJ7CQM4FBSFJZO}

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	2026-07-05T02:45:50.051296Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f1cab7fe0b4ac0aa7e2833850c8a9cbb57c519fc970a095edfee564a0a0455d

Aliases

arxiv: 2105.01338 · arxiv_version: 2105.01338v2 · doi: 10.48550/arxiv.2105.01338 · pith_short_12: D4OKW77AWSWA · pith_short_16: D4OKW77AWSWAVJ7C · pith_short_8: D4OKW77A

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/D4OKW77AWSWAVJ7CQM4FBSFJZO \
  | 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: 1f1cab7fe0b4ac0aa7e2833850c8a9cbb57c519fc970a095edfee564a0a0455d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cbabeef49c52f60755834e79a0e3438131ec8b365274128b2a8900f292562bd5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2021-05-04T07:38:21Z",
    "title_canon_sha256": "3affadff4a4539f095a5556f2cd1812a843fe558415bfd7ab7fcdf90a600f72b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2105.01338",
    "kind": "arxiv",
    "version": 2
  }
}