pith. sign in
Pith Number

pith:5273BZPA

pith:2012:5273BZPALUWPYNPYVYUPHGHARE
not attested not anchored not stored refs pending

Dynamics of Phase Boundary with Particle Annihilation

A. D. Manita, V. A. Malyshev

arxiv:1204.3163 v1 · 2012-04-14 · math-ph · math.MP · math.PR

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{5273BZPALUWPYNPYVYUPHGHARE}

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 2026-05-18T03:57:52.396641Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

eebfb0e5e05d2cfc35f8ae28f398e08911d49f73063b2e3c68b84eafeaf29476

Aliases

arxiv: 1204.3163 · arxiv_version: 1204.3163v1 · doi: 10.48550/arxiv.1204.3163 · pith_short_12: 5273BZPALUWP · pith_short_16: 5273BZPALUWPYNPY · pith_short_8: 5273BZPA
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/5273BZPALUWPYNPYVYUPHGHARE \
  | 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: eebfb0e5e05d2cfc35f8ae28f398e08911d49f73063b2e3c68b84eafeaf29476
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "9892247dec77c0024ebcdca820fabfacb7402e42faadfa3bd966ca6400f0e375",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-04-14T10:56:21Z",
    "title_canon_sha256": "c92791791389e75fd421b228f4f52ee8c82cbe0aad91bcad8b1bee7ad75cfd0e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.3163",
    "kind": "arxiv",
    "version": 1
  }
}