Pith Number

pith:ZL5N3ZSY

pith:2007:ZL5N3ZSY4TIZTYULPZZFVGLXSV

not attested not anchored not stored refs pending

Derivatives of embedding functors I: the stable case

Gregory Arone

arxiv:0707.3489 v2 · 2007-07-24 · 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{ZL5N3ZSY4TIZTYULPZZFVGLXSV}

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	2026-05-18T02:58:12.528504Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cafadde658e4d199e28b7e725a9977957c538a3a97b6eb825399e61a43a41b00

Aliases

arxiv: 0707.3489 · arxiv_version: 0707.3489v2 · doi: 10.48550/arxiv.0707.3489 · pith_short_12: ZL5N3ZSY4TIZ · pith_short_16: ZL5N3ZSY4TIZTYUL · pith_short_8: ZL5N3ZSY

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/ZL5N3ZSY4TIZTYULPZZFVGLXSV \
  | 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: cafadde658e4d199e28b7e725a9977957c538a3a97b6eb825399e61a43a41b00

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ef7caec09a95b01da11c1aa6325a444b126fb8d3edf14befecacd6fd6cb1f45",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AT",
    "submitted_at": "2007-07-24T08:09:05Z",
    "title_canon_sha256": "75217d2a364fef160e80c43b77b0bfa9e5ed29bdeb973909d26925ff80166cc1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0707.3489",
    "kind": "arxiv",
    "version": 2
  }
}