Pith Number

pith:IE4NFAVR

pith:2014:IE4NFAVRTYMCMG6MQFWY3E2PCG

not attested not anchored not stored refs pending

Lower bounds on the projective heights of algebraic points

Charles L. Samuels

arxiv:1408.5048 v1 · 2014-08-21 · 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{IE4NFAVRTYMCMG6MQFWY3E2PCG}

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	2026-05-18T01:42:16.017587Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4138d282b19e18261bcc816d8d934f11aafb7fda84e4167761d5f83276d46a84

Aliases

arxiv: 1408.5048 · arxiv_version: 1408.5048v1 · doi: 10.48550/arxiv.1408.5048 · pith_short_12: IE4NFAVRTYMC · pith_short_16: IE4NFAVRTYMCMG6M · pith_short_8: IE4NFAVR

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/IE4NFAVRTYMCMG6MQFWY3E2PCG \
  | 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: 4138d282b19e18261bcc816d8d934f11aafb7fda84e4167761d5f83276d46a84

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bcfdbd0d914a6e1d2e9c5e5e41217eefa65e69be8621282b2aaff6665e5a784c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-08-21T15:59:55Z",
    "title_canon_sha256": "647734fd89571e4d1aa948b839dc57bfeb83921ad2895aa7bc606813629b2282"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.5048",
    "kind": "arxiv",
    "version": 1
  }
}