Pith Number

pith:JCZCYC2Y

pith:2014:JCZCYC2YUKWNGLSGZ7QESJXA43

not attested not anchored not stored refs pending

On the Evrard fibrant replacement of a functor

Boris Shoikhet

arxiv:1412.0317 v4 · 2014-12-01 · math.KT · math.AT · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JCZCYC2YUKWNGLSGZ7QESJXA43}

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	2026-05-18T00:59:59.177431Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48b22c0b58a2acd32e46cfe04926e0e6fee2c625da2b634602d1d6940524bcc9

Aliases

arxiv: 1412.0317 · arxiv_version: 1412.0317v4 · doi: 10.48550/arxiv.1412.0317 · pith_short_12: JCZCYC2YUKWN · pith_short_16: JCZCYC2YUKWNGLSG · pith_short_8: JCZCYC2Y

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/JCZCYC2YUKWNGLSGZ7QESJXA43 \
  | 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: 48b22c0b58a2acd32e46cfe04926e0e6fee2c625da2b634602d1d6940524bcc9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cbedeef33c3349fa7ae0b9dca267867eed368171e99cc40e20ac4d3ea37b92f5",
    "cross_cats_sorted": [
      "math.AT",
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2014-12-01T01:01:55Z",
    "title_canon_sha256": "ecfece7934fd0023081fe0cae9e219f15d3febdfd8d78ec8869b8a790a983e0d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.0317",
    "kind": "arxiv",
    "version": 4
  }
}