Pith Number

pith:5MUQNNBZ

pith:2021:5MUQNNBZ2BE654I5YJJUTW63VT

not attested not anchored not stored refs pending

Exact Topology of Dynamic Probability Surface of an Activated Process by Persistent Homology

Ao Ma, Farid Manuchehrfar, Huiyu Li, Jie Liang, Wei Tian

arxiv:2102.00532 v3 · 2021-01-31 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5MUQNNBZ2BE654I5YJJUTW63VT}

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	2026-07-05T02:25:51.111339Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb2906b439d049eef11dc25349dbdbacd676b33dd94287a44c8004684bf54b88

Aliases

arxiv: 2102.00532 · arxiv_version: 2102.00532v3 · doi: 10.48550/arxiv.2102.00532 · pith_short_12: 5MUQNNBZ2BE6 · pith_short_16: 5MUQNNBZ2BE654I5 · pith_short_8: 5MUQNNBZ

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/5MUQNNBZ2BE654I5YJJUTW63VT \
  | 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: eb2906b439d049eef11dc25349dbdbacd676b33dd94287a44c8004684bf54b88

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e244e64bd1119731fd48a921e444cfb4a119d09e79fe19dce5f1247bf5c11933",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2021-01-31T20:52:11Z",
    "title_canon_sha256": "b566e79075a06216e678aa6c10e969bb9b291a07b88375f32dd5357afe83a799"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2102.00532",
    "kind": "arxiv",
    "version": 3
  }
}