Pith Number

pith:TRN3J5AR

pith:2015:TRN3J5ARDB2RHBV3U5ICIDS2I7

not attested not anchored not stored refs pending

Channel Metrization

Marcelo Firer, Rafael G. L. D'Oliveira

arxiv:1510.03104 v2 · 2015-10-11 · cs.IT · math.CO · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TRN3J5ARDB2RHBV3U5ICIDS2I7}

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	2026-05-18T01:20:01.304611Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c5bb4f41118751386bba750240e5a47d5c0ab2cdea89df2fa4adcf573c8c68a

Aliases

arxiv: 1510.03104 · arxiv_version: 1510.03104v2 · doi: 10.48550/arxiv.1510.03104 · pith_short_12: TRN3J5ARDB2R · pith_short_16: TRN3J5ARDB2RHBV3 · pith_short_8: TRN3J5AR

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/TRN3J5ARDB2RHBV3U5ICIDS2I7 \
  | 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: 9c5bb4f41118751386bba750240e5a47d5c0ab2cdea89df2fa4adcf573c8c68a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10907962de5e831a95165678676e9dd9ac67b0a94495486eee2ceb8fdaf59805",
    "cross_cats_sorted": [
      "math.CO",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-10-11T21:25:37Z",
    "title_canon_sha256": "a643accb409cd9bcfc11fc07036d4c0b7575c872e08f707ec262ac8a72fb6fe0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.03104",
    "kind": "arxiv",
    "version": 2
  }
}