Pith Number

pith:DQGCOG4C

pith:2011:DQGCOG4CYY2MFBA2UQ2T6ZKZ24

not attested not anchored not stored refs pending

Amoebas of complex hypersurfaces in statistical thermodynamics

August Tsikh, Dmitry Pochekutov, Mikael Passare

arxiv:1112.4332 v1 · 2011-12-19 · math-ph · math.CV · math.MP · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DQGCOG4CYY2MFBA2UQ2T6ZKZ24}

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	2026-05-18T01:59:05.683311Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c0c271b82c634c2841aa4353f6559d7262feb924fe507cc262bd725fefcd965

Aliases

arxiv: 1112.4332 · arxiv_version: 1112.4332v1 · doi: 10.48550/arxiv.1112.4332 · pith_short_12: DQGCOG4CYY2M · pith_short_16: DQGCOG4CYY2MFBA2 · pith_short_8: DQGCOG4C

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/DQGCOG4CYY2MFBA2UQ2T6ZKZ24 \
  | 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: 1c0c271b82c634c2841aa4353f6559d7262feb924fe507cc262bd725fefcd965

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a252aae9d7a1c8120981e68b6db26aad5bbbba975de95651bb3e8e8a340f3a4",
    "cross_cats_sorted": [
      "math.CV",
      "math.MP",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-12-19T13:31:27Z",
    "title_canon_sha256": "e94b19aa79d6d96957147eb2ae1e8aefe221994e520254bd9ea27564d74f4f82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.4332",
    "kind": "arxiv",
    "version": 1
  }
}