pith. sign in
Pith Number

pith:XXKR46IM

pith:2005:XXKR46IMS3NSFDI5WUD3NXPPO5
not attested not anchored not stored refs pending

Homotopical Intersection Theory, I

E. Bruce Williams, John R. Klein

arxiv:math/0512479 v1 · 2005-12-21 · math.AT · math.GT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{XXKR46IMS3NSFDI5WUD3NXPPO5}

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 2026-05-18T02:37:59.659946Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

bdd51e790c96db228d1db507b6ddef7765e63ecad5a67c45933cae63541f3fe4

Aliases

arxiv: math/0512479 · arxiv_version: math/0512479v1 · doi: 10.48550/arxiv.math/0512479 · pith_short_12: XXKR46IMS3NS · pith_short_16: XXKR46IMS3NSFDI5 · pith_short_8: XXKR46IM
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/XXKR46IMS3NSFDI5WUD3NXPPO5 \
  | 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: bdd51e790c96db228d1db507b6ddef7765e63ecad5a67c45933cae63541f3fe4
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "c1d789fa53a6bc5cd1d02a7bf272b8e7ad2ccf88f9d6fba52ee7c4716b5d0cde",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "",
    "primary_cat": "math.AT",
    "submitted_at": "2005-12-21T02:43:55Z",
    "title_canon_sha256": "a46e324f5414d69cb2a56da936dd05bf61c0a6b6305b2d2c80ff7f7c0017ea60"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0512479",
    "kind": "arxiv",
    "version": 1
  }
}