Pith Number

pith:MSLZYT7B

pith:2015:MSLZYT7BCCUGHT54YYKKNTHBVO

not attested not anchored not stored refs pending

Intersection of positive closed currents of higher bidegree

Duc-Viet Vu

arxiv:1507.05464 v1 · 2015-07-20 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MSLZYT7BCCUGHT54YYKKNTHBVO}

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	2026-05-18T01:36:36.728185Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64979c4fe110a863cfbcc614a6cce1ab99d554466641a75a32810869ff467aad

Aliases

arxiv: 1507.05464 · arxiv_version: 1507.05464v1 · doi: 10.48550/arxiv.1507.05464 · pith_short_12: MSLZYT7BCCUG · pith_short_16: MSLZYT7BCCUGHT54 · pith_short_8: MSLZYT7B

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/MSLZYT7BCCUGHT54YYKKNTHBVO \
  | 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: 64979c4fe110a863cfbcc614a6cce1ab99d554466641a75a32810869ff467aad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a36a70e4844e6f9dc35516a677da4ebd7d13fe5dcd7818997354c0948628157a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-07-20T12:18:40Z",
    "title_canon_sha256": "ca3ef25afa0004590bc6e9473c8e5e80404de6fbf9e49023108acf0387737c16"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.05464",
    "kind": "arxiv",
    "version": 1
  }
}