Pith Number

pith:3H4XP6H5

pith:2014:3H4XP6H5JAHY3RRDQ6KERGJJQU

not attested not anchored not stored refs pending

Estimating heights using auxiliary functions

Charles L. Samuels

arxiv:1408.4167 v1 · 2014-08-18 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3H4XP6H5JAHY3RRDQ6KERGJJQU}

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	2026-05-18T01:42:17.722841Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9f977f8fd480f8dc623879448992985374aa5e883cd9f6a2af5dacb607c654f

Aliases

arxiv: 1408.4167 · arxiv_version: 1408.4167v1 · doi: 10.48550/arxiv.1408.4167 · pith_short_12: 3H4XP6H5JAHY · pith_short_16: 3H4XP6H5JAHY3RRD · pith_short_8: 3H4XP6H5

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/3H4XP6H5JAHY3RRDQ6KERGJJQU \
  | 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: d9f977f8fd480f8dc623879448992985374aa5e883cd9f6a2af5dacb607c654f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c09bd300d0a947399245ee70d48b60cb8b01ff6d7a3aa665d554df18560bb46b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-08-18T22:01:15Z",
    "title_canon_sha256": "dd86bfd0fbee24b77df40658cc8507ed83d9beaa48064d285b5108e889a72342"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.4167",
    "kind": "arxiv",
    "version": 1
  }
}