Pith Number

pith:SROSH2HS

pith:2019:SROSH2HSM644CTITNI2KRMUJFN

not attested not anchored not stored refs pending

Directed Homotopy in Non-Positively Curved Spaces

Eric Goubault, Samuel Mimram

arxiv:1908.06684 v4 · 2019-08-19 · cs.LO · cs.DC · 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{SROSH2HSM644CTITNI2KRMUJFN}

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	2026-07-05T06:23:27.804705Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

945d23e8f267b9c14d136a34a8b2892b4c3c24c60bb5613b9555d50db14e9988

Aliases

arxiv: 1908.06684 · arxiv_version: 1908.06684v4 · doi: 10.48550/arxiv.1908.06684 · pith_short_12: SROSH2HSM644 · pith_short_16: SROSH2HSM644CTIT · pith_short_8: SROSH2HS

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/SROSH2HSM644CTITNI2KRMUJFN \
  | 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: 945d23e8f267b9c14d136a34a8b2892b4c3c24c60bb5613b9555d50db14e9988

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1eb74e4a4b171e252f4df3f86d48f2c9cb84eb331d52d66c5c4442cb78800f2",
    "cross_cats_sorted": [
      "cs.DC",
      "math.AT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2019-08-19T10:32:53Z",
    "title_canon_sha256": "d108e15c91d41d0f0c16ed63ba6324815fa5e5ce26a2dc514e110ddf8d3f8782"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.06684",
    "kind": "arxiv",
    "version": 4
  }
}