Pith Number

pith:ZO5O77E2

pith:2022:ZO5O77E2KY5GEVIBHAGV7SMJRI

not attested not anchored not stored refs pending

A uniqueness and stability principle for surface diffusion

Milan Kroemer, Tim Laux

arxiv:2212.12487 v4 · 2022-12-23 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZO5O77E2KY5GEVIBHAGV7SMJRI}

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	2026-07-05T07:03:20.063304Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbbaeffc9a563a625501380d5fc9898a09069e3ac0f3549cbede69dcf3ccbae4

Aliases

arxiv: 2212.12487 · arxiv_version: 2212.12487v4 · doi: 10.48550/arxiv.2212.12487 · pith_short_12: ZO5O77E2KY5G · pith_short_16: ZO5O77E2KY5GEVIB · pith_short_8: ZO5O77E2

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/ZO5O77E2KY5GEVIBHAGV7SMJRI \
  | 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: cbbaeffc9a563a625501380d5fc9898a09069e3ac0f3549cbede69dcf3ccbae4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95df60d799d1939d43dda37bcea252e8bf73e5079432ddb9dffcec384fcf9995",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2022-12-23T17:29:05Z",
    "title_canon_sha256": "b7841bcbe3552672e402323b1d3b4203370ced987549c068bac939c60029b42c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.12487",
    "kind": "arxiv",
    "version": 4
  }
}