Pith Number

pith:CQU3MTC6

pith:2009:CQU3MTC66O3SND54YXNJZU6E3E

not attested not anchored not stored refs pending

Coleff-Herrera currents, duality, and Noetherian operators

Mats Andersson

arxiv:0902.3064 v2 · 2009-02-18 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CQU3MTC66O3SND54YXNJZU6E3E}

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	2026-05-18T04:14:55.260437Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1429b64c5ef3b7268fbcc5da9cd3c4d9328dddd7ec4930f278f4e6b829590d65

Aliases

arxiv: 0902.3064 · arxiv_version: 0902.3064v2 · doi: 10.48550/arxiv.0902.3064 · pith_short_12: CQU3MTC66O3S · pith_short_16: CQU3MTC66O3SND54 · pith_short_8: CQU3MTC6

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/CQU3MTC66O3SND54YXNJZU6E3E \
  | 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: 1429b64c5ef3b7268fbcc5da9cd3c4d9328dddd7ec4930f278f4e6b829590d65

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fae903be7b66f7e5a86d5602e79fdfa3e8ef8feef1a723a3be3a724c8070c87e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2009-02-18T07:44:31Z",
    "title_canon_sha256": "76871649cab2fa05d3f0e86fdb53500b64a1ef0e6e320c0db750f1ca771755c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.3064",
    "kind": "arxiv",
    "version": 2
  }
}