Pith Number

pith:SDJD6Z5F

pith:2016:SDJD6Z5FPDBST4YP77AOPLFCV4

not attested not anchored not stored refs pending

Log canonical thresholds and Monge-Ampere masses

Pham Hoang Hiep

arxiv:1604.01506 v4 · 2016-04-06 · 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{SDJD6Z5FPDBST4YP77AOPLFCV4}

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	2026-05-18T01:15:13.596503Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

90d23f67a578c329f30fffc0e7aca2af35e7dc47ca7a8c7206840a20f7e0a3a8

Aliases

arxiv: 1604.01506 · arxiv_version: 1604.01506v4 · doi: 10.48550/arxiv.1604.01506 · pith_short_12: SDJD6Z5FPDBS · pith_short_16: SDJD6Z5FPDBST4YP · pith_short_8: SDJD6Z5F

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/SDJD6Z5FPDBST4YP77AOPLFCV4 \
  | 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: 90d23f67a578c329f30fffc0e7aca2af35e7dc47ca7a8c7206840a20f7e0a3a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9354d85c32b99762f54e92186c7e59b33df687a893591fa96118458146ca3dbc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2016-04-06T06:50:53Z",
    "title_canon_sha256": "836a5f69693772df844f38783baf1ba732f6b280b0f1add8c39735ec6d66f8b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.01506",
    "kind": "arxiv",
    "version": 4
  }
}