Pith Number

pith:BO4TAK7M

pith:2016:BO4TAK7MRD7QH4QMGIMQ3UKILX

not attested not anchored not stored refs pending

Equilibrium measures in the presence of weak rational external fields

Joaquin F. Sanchez Lara, Ramon Orive

arxiv:1605.01909 v1 · 2016-05-06 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BO4TAK7MRD7QH4QMGIMQ3UKILX}

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	2026-05-18T01:15:30.967125Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0bb9302bec88ff03f20c32190dd1485df46c1d3850ccd1dbb76f93a942ce3bef

Aliases

arxiv: 1605.01909 · arxiv_version: 1605.01909v1 · doi: 10.48550/arxiv.1605.01909 · pith_short_12: BO4TAK7MRD7Q · pith_short_16: BO4TAK7MRD7QH4QM · pith_short_8: BO4TAK7M

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/BO4TAK7MRD7QH4QMGIMQ3UKILX \
  | 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: 0bb9302bec88ff03f20c32190dd1485df46c1d3850ccd1dbb76f93a942ce3bef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7165458ef5338db157018f48d1cdd2e9be18f1d0b3250855309a1ad12c54cbcb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2016-05-06T12:26:34Z",
    "title_canon_sha256": "0b5baded684aeeab91ee3c0e867700b6f2b210665f6e5a26641b037ebd1c3c12"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.01909",
    "kind": "arxiv",
    "version": 1
  }
}