Pith Number

pith:DU4XTCOA

pith:2009:DU4XTCOAY6YT52Z4DR5J7NVMSO

not attested not anchored not stored refs pending

The rational homotopy type of the space of self-equivalences of a fibration

Gregory Lupton, Samuel B. Smith, Yves Felix

arxiv:0903.1470 v2 · 2009-03-09 · 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{DU4XTCOAY6YT52Z4DR5J7NVMSO}

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	2026-05-18T04:41:25.335791Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d397989c0c7b13eeb3c1c7a9fb6ac93b03c71561f1a46eea09974eb71b12af4

Aliases

arxiv: 0903.1470 · arxiv_version: 0903.1470v2 · doi: 10.48550/arxiv.0903.1470 · pith_short_12: DU4XTCOAY6YT · pith_short_16: DU4XTCOAY6YT52Z4 · pith_short_8: DU4XTCOA

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/DU4XTCOAY6YT52Z4DR5J7NVMSO \
  | 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: 1d397989c0c7b13eeb3c1c7a9fb6ac93b03c71561f1a46eea09974eb71b12af4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70a9e89e54424d1dab0bdf2594ce55b022606bb64e85f4323e5c722a239aaf39",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2009-03-09T01:39:55Z",
    "title_canon_sha256": "022be0173ecbf27474a5906a243f4eb4673089f64c54084d50ae787a466686bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.1470",
    "kind": "arxiv",
    "version": 2
  }
}