Pith Number

pith:J2IOCVN5

pith:2016:J2IOCVN56C6UJFGWP3B2CSSNKA

not attested not anchored not stored refs pending

Nonminimal De Rham-Hodge Operators and Non-commutative Residue

Aihui Sun, Jian Wang, Sihui Chen, Yong Wang

arxiv:1607.07949 v1 · 2016-07-27 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J2IOCVN56C6UJFGWP3B2CSSNKA}

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	2026-05-18T00:09:36.833034Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e90e155bdf0bd4494d67ec3a14a4d502307c354c06ee222eced146a49034715

Aliases

arxiv: 1607.07949 · arxiv_version: 1607.07949v1 · doi: 10.48550/arxiv.1607.07949 · pith_short_12: J2IOCVN56C6U · pith_short_16: J2IOCVN56C6UJFGW · pith_short_8: J2IOCVN5

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/J2IOCVN56C6UJFGWP3B2CSSNKA \
  | 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: 4e90e155bdf0bd4494d67ec3a14a4d502307c354c06ee222eced146a49034715

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58e46e616a0701ba6742d481820bf5259f2aa6a0f4171de2acebdab5bc36fdae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-07-27T04:06:38Z",
    "title_canon_sha256": "52fb0abc27f21e633c70b320f988bb82f1556478ef56d4b3ca3ca4931edd9f83"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.07949",
    "kind": "arxiv",
    "version": 1
  }
}