Pith Number

pith:AQ7GXIF3

pith:2019:AQ7GXIF3QCJ6EWROPR6PHHPH2Q

not attested not anchored not stored refs pending

Stratified Homotopy Theory

Sylvain Douteau

arxiv:1908.01366 v1 · 2019-08-04 · 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{AQ7GXIF3QCJ6EWROPR6PHHPH2Q}

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	2026-07-04T23:51:29.616003Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

043e6ba0bb8093e25a2e7c7cf39de7d432eeb7b66fcabc344d634caa898a9b2d

Aliases

arxiv: 1908.01366 · arxiv_version: 1908.01366v1 · doi: 10.48550/arxiv.1908.01366 · pith_short_12: AQ7GXIF3QCJ6 · pith_short_16: AQ7GXIF3QCJ6EWRO · pith_short_8: AQ7GXIF3

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/AQ7GXIF3QCJ6EWROPR6PHHPH2Q \
  | 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: 043e6ba0bb8093e25a2e7c7cf39de7d432eeb7b66fcabc344d634caa898a9b2d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b31c3b2eae89e0d902424b032747fca650e9102af4a458b69d15a51827c3b2a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2019-08-04T15:47:42Z",
    "title_canon_sha256": "af0aaa6014fc9da1e02790c1e49a7efdbcb12601e198e7261fa1b5f1ae70d176"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.01366",
    "kind": "arxiv",
    "version": 1
  }
}