Pith Number

pith:EAYGC5JE

pith:2017:EAYGC5JE3KVBVXPGBPV6KIUIPC

not attested not anchored not stored refs pending

Non-robust phase transitions in the generalized clock model on trees

Christof Kuelske, Philipp Schriever

arxiv:1703.06920 v1 · 2017-03-20 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EAYGC5JE3KVBVXPGBPV6KIUIPC}

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	2026-05-18T00:28:56.203646Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2030617524daaa1adde60bebe5228878822d370b8b0428a68a5ec73e2d09bcbc

Aliases

arxiv: 1703.06920 · arxiv_version: 1703.06920v1 · doi: 10.48550/arxiv.1703.06920 · pith_short_12: EAYGC5JE3KVB · pith_short_16: EAYGC5JE3KVBVXPG · pith_short_8: EAYGC5JE

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/EAYGC5JE3KVBVXPGBPV6KIUIPC \
  | 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: 2030617524daaa1adde60bebe5228878822d370b8b0428a68a5ec73e2d09bcbc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dcb6824480ee530c9ef34dd5303d22a644e7cce99acd4f6eef368fac9bcbfdba",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-03-20T18:45:39Z",
    "title_canon_sha256": "e7f1abd78ab2d0e31aa160b9b9a2813ac871307204e080e7028836a142e1d5f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.06920",
    "kind": "arxiv",
    "version": 1
  }
}