Pith Number

pith:6TLCGKZV

pith:2015:6TLCGKZVEBNC34DS42UFP2HXFB

not attested not anchored not stored refs pending

Idempotents of small norm

Hung Le Pham, Jayden Mudge

arxiv:1510.03535 v1 · 2015-10-13 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6TLCGKZVEBNC34DS42UFP2HXFB}

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	2026-05-18T01:30:16.908582Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4d6232b35205a2df072e6a857e8f7285c6c7b52cc6b8467db980377ec7794b0

Aliases

arxiv: 1510.03535 · arxiv_version: 1510.03535v1 · doi: 10.48550/arxiv.1510.03535 · pith_short_12: 6TLCGKZVEBNC · pith_short_16: 6TLCGKZVEBNC34DS · pith_short_8: 6TLCGKZV

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/6TLCGKZVEBNC34DS42UFP2HXFB \
  | 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: f4d6232b35205a2df072e6a857e8f7285c6c7b52cc6b8467db980377ec7794b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b08bc27651a1ce670fa8bdd6b8de73a565f797759f7e07574393610148f79830",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-10-13T05:14:04Z",
    "title_canon_sha256": "b85d02897fa8302229b0fbf5a4fadb342f37b8725de90130c2d528acfe0aaf1a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.03535",
    "kind": "arxiv",
    "version": 1
  }
}