Pith Number

pith:AQAQC5MN

pith:2015:AQAQC5MN5DK2GZVGT5U32LZS3F

not attested not anchored not stored refs pending

Bertrand's Postulate for Number Fields

M. Ram Murty, Thomas A. Hulse

arxiv:1508.00887 v2 · 2015-08-04 · 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{AQAQC5MN5DK2GZVGT5U32LZS3F}

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	2026-05-18T01:10:15.095074Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

040101758de8d5a366a69f69bd2f32d97f2ff1bd019940708f5e75f86be28efc

Aliases

arxiv: 1508.00887 · arxiv_version: 1508.00887v2 · doi: 10.48550/arxiv.1508.00887 · pith_short_12: AQAQC5MN5DK2 · pith_short_16: AQAQC5MN5DK2GZVG · pith_short_8: AQAQC5MN

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/AQAQC5MN5DK2GZVGT5U32LZS3F \
  | 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: 040101758de8d5a366a69f69bd2f32d97f2ff1bd019940708f5e75f86be28efc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e02c833ddc6cdf8a49e85624c77603a93b3ff87896ed24ce54ce8228aaad3a82",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-08-04T19:49:24Z",
    "title_canon_sha256": "cf4f98c1042970c74d5ef037fbc75c34a46ffba797ce84390df21e27925cff96"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.00887",
    "kind": "arxiv",
    "version": 2
  }
}