Pith Number

pith:3A7EUMMO

pith:2017:3A7EUMMO2M3SG3EEWUR6ZF7S7K

not attested not anchored not stored refs pending

Radial Subgradient Method

Benjamin Grimmer

arxiv:1703.09280 v2 · 2017-03-27 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3A7EUMMO2M3SG3EEWUR6ZF7S7K}

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	2026-05-18T00:22:33.403537Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d83e4a318ed337236c84b523ec97f2fa9b7919de73e609c0c731d2dea91011c9

Aliases

arxiv: 1703.09280 · arxiv_version: 1703.09280v2 · doi: 10.48550/arxiv.1703.09280 · pith_short_12: 3A7EUMMO2M3S · pith_short_16: 3A7EUMMO2M3SG3EE · pith_short_8: 3A7EUMMO

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/3A7EUMMO2M3SG3EEWUR6ZF7S7K \
  | 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: d83e4a318ed337236c84b523ec97f2fa9b7919de73e609c0c731d2dea91011c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bbde2cf110a9e4f0c4d82a5a0eab2fb4187c48611534ef7d1489cdd176e325f5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-03-27T19:40:29Z",
    "title_canon_sha256": "a783038b3c3904cec0923a1c3fed1b3fb86f7c23d52aff5c4d5b5cde4ba8e125"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.09280",
    "kind": "arxiv",
    "version": 2
  }
}