Pith Number

pith:2XY4HECA

pith:2012:2XY4HECAH6GKEODYE5C6BHA36J

not attested not anchored not stored refs pending

Gradient flows of the entropy for jump processes

Matthias Erbar

arxiv:1204.2190 v1 · 2012-04-10 · math.PR · math.AP · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2XY4HECAH6GKEODYE5C6BHA36J}

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	2026-05-18T03:58:13.064216Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5f1c390403f8ca238782745e09c1bf25450e11092635d910bf22e37db04e653

Aliases

arxiv: 1204.2190 · arxiv_version: 1204.2190v1 · doi: 10.48550/arxiv.1204.2190 · pith_short_12: 2XY4HECAH6GK · pith_short_16: 2XY4HECAH6GKEODY · pith_short_8: 2XY4HECA

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/2XY4HECAH6GKEODYE5C6BHA36J \
  | 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: d5f1c390403f8ca238782745e09c1bf25450e11092635d910bf22e37db04e653

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d685d3155c34996fb59e7edf1d3c4b46b8df6a3ec8fa3d13a8d58d24d899c907",
    "cross_cats_sorted": [
      "math.AP",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-04-10T15:28:49Z",
    "title_canon_sha256": "9050cce50f2ef27b98ee4c7efbbd6a90dc37d38a10c4601a50e306b29116896f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.2190",
    "kind": "arxiv",
    "version": 1
  }
}