Pith Number

pith:HHKADEVF

pith:2011:HHKADEVFFIFPJDKD6DSFI4VUEM

not attested not anchored not stored refs pending

The Chern Numbers and Euler Characteristics of Modules

Jooyoun Hong, Kazuho Ozeki, Laura Ghezzi, Shiro Goto, Tran Phuong, Wolmer Vasconcelos

arxiv:1109.5628 v2 · 2011-09-26 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HHKADEVFFIFPJDKD6DSFI4VUEM}

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	2026-05-18T02:55:04.462932Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39d40192a52a0af48d43f0e45472b42314a91529cc17342cc3740b896e87252b

Aliases

arxiv: 1109.5628 · arxiv_version: 1109.5628v2 · doi: 10.48550/arxiv.1109.5628 · pith_short_12: HHKADEVFFIFP · pith_short_16: HHKADEVFFIFPJDKD · pith_short_8: HHKADEVF

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/HHKADEVFFIFPJDKD6DSFI4VUEM \
  | 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: 39d40192a52a0af48d43f0e45472b42314a91529cc17342cc3740b896e87252b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f117a723c3200c7d50e16ae2bb91a2d66b176ef2865846fe25d4a00733b3084e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2011-09-26T16:29:45Z",
    "title_canon_sha256": "7f6389328c59d2e96f2ab97ce22d1e7718e7d07730fc5036fd01666096fff467"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.5628",
    "kind": "arxiv",
    "version": 2
  }
}