Pith Number

pith:JOUKDFIR

pith:2021:JOUKDFIRSCLGGPFLKGB5K4P2XP

not attested not anchored not stored refs pending

Collapse and Diffusion in Harmonic Activation and Transport

Alan Hammond, Jacob Calvert, Shirshendu Ganguly

arxiv:2110.13895 v1 · 2021-10-26 · math.PR · cond-mat.stat-mech · 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{JOUKDFIRSCLGGPFLKGB5K4P2XP}

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	2026-07-05T03:26:10.956059Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ba8a195119096633cab5183d571fabbee54d0fdbff5514f4e3c28a9cdbfd331

Aliases

arxiv: 2110.13895 · arxiv_version: 2110.13895v1 · doi: 10.48550/arxiv.2110.13895 · pith_short_12: JOUKDFIRSCLG · pith_short_16: JOUKDFIRSCLGGPFL · pith_short_8: JOUKDFIR

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/JOUKDFIRSCLGGPFLKGB5K4P2XP \
  | 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: 4ba8a195119096633cab5183d571fabbee54d0fdbff5514f4e3c28a9cdbfd331

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18cee0a6efa7317131ff74e17d400ca5f7a230935f6b3c2bb6ddaa34c2fc89b8",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2021-10-26T17:49:13Z",
    "title_canon_sha256": "2edebb4de226b282ff664ed9e042bc7679e659a2ccdf0ea3ea768ca68a3eab3f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.13895",
    "kind": "arxiv",
    "version": 1
  }
}