Pith Number

pith:NYI5F3GF

pith:2015:NYI5F3GFPYEJVZQHXMUNLKZTP5

not attested not anchored not stored refs pending

Phase transitions and coarse-graining for a system of particles in the continuum

Dimitrios Tsagkarogiannis, Elena Pulvirenti

arxiv:1512.00781 v1 · 2015-12-02 · 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{NYI5F3GFPYEJVZQHXMUNLKZTP5}

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	2026-05-18T01:25:25.097170Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e11d2ecc57e089ae607bb28d5ab337f416fa271e299d322c8d35c7e114b01d7

Aliases

arxiv: 1512.00781 · arxiv_version: 1512.00781v1 · doi: 10.48550/arxiv.1512.00781 · pith_short_12: NYI5F3GFPYEJ · pith_short_16: NYI5F3GFPYEJVZQH · pith_short_8: NYI5F3GF

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/NYI5F3GFPYEJVZQHXMUNLKZTP5 \
  | 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: 6e11d2ecc57e089ae607bb28d5ab337f416fa271e299d322c8d35c7e114b01d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31ebe5b22546dacad64f90d2c3a4f8c22c4c9fa444a22a8c642b329cab1064b5",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-12-02T17:34:44Z",
    "title_canon_sha256": "793d2ef10a81f6635b58c2a053ec451482ddf7be8f1b0eed10e419d5cfcbe582"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.00781",
    "kind": "arxiv",
    "version": 1
  }
}