Pith Number

pith:5J642FTC

pith:2016:5J642FTCXFX2C7KA6KIJO2G2A6

not attested not anchored not stored refs pending

Principal fiber bundles in non-commutative geometry

Christian Kassel

arxiv:1612.01821 v1 · 2016-12-06 · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5J642FTCXFX2C7KA6KIJO2G2A6}

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	2026-05-18T00:22:21.119576Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea7dcd1662b96fa17d40f2909768da079fc0eca4dccb7224e56e4b80a7432865

Aliases

arxiv: 1612.01821 · arxiv_version: 1612.01821v1 · doi: 10.48550/arxiv.1612.01821 · pith_short_12: 5J642FTCXFX2 · pith_short_16: 5J642FTCXFX2C7KA · pith_short_8: 5J642FTC

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/5J642FTCXFX2C7KA6KIJO2G2A6 \
  | 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: ea7dcd1662b96fa17d40f2909768da079fc0eca4dccb7224e56e4b80a7432865

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb6f1706402e23a2276d3827a15e2c44e35178311de88be9d91f9c030b9289cc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2016-12-06T14:24:17Z",
    "title_canon_sha256": "e0d4110562a8f068943e05654b156e3778ac4f3c89db8785b29af129859bb558"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.01821",
    "kind": "arxiv",
    "version": 1
  }
}