Pith Number

pith:UUQVW2MY

pith:2014:UUQVW2MYBDPCMDLDGMRT5SS7RX

not attested not anchored not stored refs pending

Embeddings, Normal Invariants and Functor Calculus

John R. Klein

arxiv:1408.6469 v6 · 2014-08-27 · math.AT · math.GT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UUQVW2MYBDPCMDLDGMRT5SS7RX}

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	2026-05-18T02:12:11.361619Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a5215b699808de260d6333233eca5f8df0bb51bb0925e6dc0eba6f3db04676a7

Aliases

arxiv: 1408.6469 · arxiv_version: 1408.6469v6 · doi: 10.48550/arxiv.1408.6469 · pith_short_12: UUQVW2MYBDPC · pith_short_16: UUQVW2MYBDPCMDLD · pith_short_8: UUQVW2MY

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/UUQVW2MYBDPCMDLDGMRT5SS7RX \
  | 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: a5215b699808de260d6333233eca5f8df0bb51bb0925e6dc0eba6f3db04676a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06e9593a6d5dcfc06f0cb82b590b2d82be448eebe4204ce4f9359e19c4e5ae54",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2014-08-27T17:19:33Z",
    "title_canon_sha256": "61e899017e6fbea3ba29ae0666a124614c963aac8e6524e23b558737c5837edd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.6469",
    "kind": "arxiv",
    "version": 6
  }
}