Pith Number

pith:MDXEBIZO

pith:2001:MDXEBIZOJGRTFYP5M6CITGZ2JN

not attested not anchored not stored refs pending

Explicit modular towers

Noam D. Elkies

arxiv:math/0103107 v1 · 2001-03-16 · math.NT · cs.IT · math.AG · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MDXEBIZOJGRTFYP5M6CITGZ2JN}

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	2026-07-04T15:03:02.120274Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60ee40a32e49a332e1fd6784899b3a4b714213264e8b9e7ff1a18ebaddadd131

Aliases

arxiv: math/0103107 · arxiv_version: math/0103107v1 · doi: 10.48550/arxiv.math/0103107 · pith_short_12: MDXEBIZOJGRT · pith_short_16: MDXEBIZOJGRTFYP5 · pith_short_8: MDXEBIZO

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/MDXEBIZOJGRTFYP5M6CITGZ2JN \
  | 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: 60ee40a32e49a332e1fd6784899b3a4b714213264e8b9e7ff1a18ebaddadd131

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6376c263516a20827e89d0d6b4e10a82cd2c4f6268eeb94b6a4e69ddc44516c8",
    "cross_cats_sorted": [
      "cs.IT",
      "math.AG",
      "math.IT"
    ],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2001-03-16T20:15:01Z",
    "title_canon_sha256": "224c715b3aaaf5abf199d5ced5cdde1455af3be2a14104990f52a9847ea6f9b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0103107",
    "kind": "arxiv",
    "version": 1
  }
}