Pith Number

pith:GLFFPK4M

pith:2010:GLFFPK4MXVU6IUX4YZNGE6LLCN

not attested not anchored not stored refs pending

Telescopic Linkages and Topological Approach to Phase Transitions

Michael Farber, Viktor Fromm

arxiv:1010.1388 v2 · 2010-10-07 · math.AT · 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{GLFFPK4MXVU6IUX4YZNGE6LLCN}

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	2026-05-18T02:23:46.376283Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32ca57ab8cbd69e452fcc65a62796b1346ee0c7c3751ed398d0e7a669faedfa8

Aliases

arxiv: 1010.1388 · arxiv_version: 1010.1388v2 · doi: 10.48550/arxiv.1010.1388 · pith_short_12: GLFFPK4MXVU6 · pith_short_16: GLFFPK4MXVU6IUX4 · pith_short_8: GLFFPK4M

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/GLFFPK4MXVU6IUX4YZNGE6LLCN \
  | 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: 32ca57ab8cbd69e452fcc65a62796b1346ee0c7c3751ed398d0e7a669faedfa8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa1785a7f23f54091cbc7da5269eb1c58b3aaf9ab6f1ba00e52161f8d58aafcb",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2010-10-07T10:21:19Z",
    "title_canon_sha256": "edfa9af99847374fd7c27f985ed6c37fc86899834006adfae7a105aa441f6488"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.1388",
    "kind": "arxiv",
    "version": 2
  }
}