Pith Number

pith:F32CQEU5

pith:2014:F32CQEU5QMDADM5EJALRLRWPKB

not attested not anchored not stored refs pending

Refinements of the Chern-Dold Character: Cocycle Additions in Differential Cohomology

Markus Upmeier

arxiv:1404.2027 v1 · 2014-04-08 · 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{F32CQEU5QMDADM5EJALRLRWPKB}

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	2026-05-18T02:54:38.716383Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ef428129d830601b3a4481715c6cf5064899ff09b57c2cd911848af4d50c48d

Aliases

arxiv: 1404.2027 · arxiv_version: 1404.2027v1 · doi: 10.48550/arxiv.1404.2027 · pith_short_12: F32CQEU5QMDA · pith_short_16: F32CQEU5QMDADM5E · pith_short_8: F32CQEU5

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/F32CQEU5QMDADM5EJALRLRWPKB \
  | 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: 2ef428129d830601b3a4481715c6cf5064899ff09b57c2cd911848af4d50c48d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1262ca19e9727e1556f99361f56de1aa44fa1857fd3047a493d1b83ef02ca5b8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2014-04-08T07:22:04Z",
    "title_canon_sha256": "6a4576256902118119fea9b122799b51185c5bfc0b6db756925f130b1b00f2fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.2027",
    "kind": "arxiv",
    "version": 1
  }
}