Pith Number

pith:YMOTNBUJ

pith:2016:YMOTNBUJPAOMT42UC5A3R4IUGX

not attested not anchored not stored refs pending

Probing emergent geometry through phase transitions in free vector and matrix models

Bo Sundborg, Irene Amado, Larus Thorlacius, Nico Wintergerst

arxiv:1612.03009 v1 · 2016-12-09 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YMOTNBUJPAOMT42UC5A3R4IUGX}

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	2026-05-18T00:49:23.016602Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c31d368689781cc9f3541741b8f11435fe6daad8dcce283cf1e7eebb0f1d5feb

Aliases

arxiv: 1612.03009 · arxiv_version: 1612.03009v1 · doi: 10.48550/arxiv.1612.03009 · pith_short_12: YMOTNBUJPAOM · pith_short_16: YMOTNBUJPAOMT42U · pith_short_8: YMOTNBUJ

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/YMOTNBUJPAOMT42UC5A3R4IUGX \
  | 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: c31d368689781cc9f3541741b8f11435fe6daad8dcce283cf1e7eebb0f1d5feb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f733ecff9a692f2d1718995fb3d46d2ffc569c9ead41c344138e32e67fb52888",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2016-12-09T13:21:22Z",
    "title_canon_sha256": "aff0d0c85be1ce9efc01c1334e658ab4731e243ac3eb3644113bae3a8c335e85"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.03009",
    "kind": "arxiv",
    "version": 1
  }
}