Pith Number

pith:KBOHNTPF

pith:2015:KBOHNTPFIWUAYT5OXTUN6DHL4A

not attested not anchored not stored refs pending

Potentially crystalline lifts of certain prescribed types

David Savitt, Florian Herzig, Toby Gee, Tong Liu

arxiv:1506.01050 v3 · 2015-06-02 · 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{KBOHNTPFIWUAYT5OXTUN6DHL4A}

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	2026-05-18T00:49:25.261921Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

505c76cde545a80c4faebce8df0cebe0060105174f5051c2be55cf911f935457

Aliases

arxiv: 1506.01050 · arxiv_version: 1506.01050v3 · doi: 10.48550/arxiv.1506.01050 · pith_short_12: KBOHNTPFIWUA · pith_short_16: KBOHNTPFIWUAYT5O · pith_short_8: KBOHNTPF

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/KBOHNTPFIWUAYT5OXTUN6DHL4A \
  | 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: 505c76cde545a80c4faebce8df0cebe0060105174f5051c2be55cf911f935457

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "addac0b342eb0f464acd99572248951bc187f2119b9064e0b214051009bee3ee",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-06-02T20:38:32Z",
    "title_canon_sha256": "47bdf35a97850a6690cbb38152332e690eabb19eca62191413ac43c087bf96d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.01050",
    "kind": "arxiv",
    "version": 3
  }
}