Pith Number

pith:3TTCT2LA

pith:2012:3TTCT2LACNMNDSLMU3GAA3KSZW

not attested not anchored not stored refs pending

Random point field approach to analysis of anisotropic Bose-Einstein condensations

Hiroshi Tamura, Valentin A. Zagrebnov (CPT)

arxiv:1207.1953 v1 · 2012-07-09 · 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{3TTCT2LACNMNDSLMU3GAA3KSZW}

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	2026-05-18T03:51:26.507942Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dce629e9601358d1c96ca6cc006d52cd80edfbb911f7ede921b08a90689960a6

Aliases

arxiv: 1207.1953 · arxiv_version: 1207.1953v1 · doi: 10.48550/arxiv.1207.1953 · pith_short_12: 3TTCT2LACNMN · pith_short_16: 3TTCT2LACNMNDSLM · pith_short_8: 3TTCT2LA

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/3TTCT2LACNMNDSLMU3GAA3KSZW \
  | 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: dce629e9601358d1c96ca6cc006d52cd80edfbb911f7ede921b08a90689960a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54102bac6f0e0f223ea33473991bcdd96ea7d10fb29a8546cf08d3405d0a7350",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-07-09T06:13:42Z",
    "title_canon_sha256": "a4d3970b2202cc6c606bf8935eb01ff67797f42fee6029194916c4edce988db4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.1953",
    "kind": "arxiv",
    "version": 1
  }
}