Pith Number

pith:FDECD7FB

pith:2011:FDECD7FBDMJF5WVNKU5ARDS7LF

not attested not anchored not stored refs pending

Mayer and virial series at low temperature

Sabine Jansen

arxiv:1109.6568 v2 · 2011-09-29 · 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{FDECD7FBDMJF5WVNKU5ARDS7LF}

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	2026-05-18T03:53:20.309254Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28c821fca11b125edaad553a088e5f5950aaf4aa0f11d5e25132c191ad92fb80

Aliases

arxiv: 1109.6568 · arxiv_version: 1109.6568v2 · doi: 10.48550/arxiv.1109.6568 · pith_short_12: FDECD7FBDMJF · pith_short_16: FDECD7FBDMJF5WVN · pith_short_8: FDECD7FB

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/FDECD7FBDMJF5WVNKU5ARDS7LF \
  | 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: 28c821fca11b125edaad553a088e5f5950aaf4aa0f11d5e25132c191ad92fb80

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3deda5efc809e0ad88539c10c26adeecbe229912249df259258277a84e55f1ca",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-09-29T15:51:03Z",
    "title_canon_sha256": "07ab40a105f7d78e85356786c5c8f850464fb1ec907a64f6af7a2abfabdb76f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.6568",
    "kind": "arxiv",
    "version": 2
  }
}