Pith Number

pith:MCJMRIWO

pith:2012:MCJMRIWOIHJAESLK27DWA7PLZG

not attested not anchored not stored refs pending

Renormalization Method and Mirror Symmetry

Si Li

arxiv:1212.4234 v1 · 2012-12-18 · math.AG · hep-th · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MCJMRIWOIHJAESLK27DWA7PLZG}

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	2026-05-18T03:38:13.506520Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6092c8a2ce41d202496ad7c7607debc9bd2e32524ae7c27f0486827a095302a6

Aliases

arxiv: 1212.4234 · arxiv_version: 1212.4234v1 · doi: 10.48550/arxiv.1212.4234 · pith_short_12: MCJMRIWOIHJA · pith_short_16: MCJMRIWOIHJAESLK · pith_short_8: MCJMRIWO

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/MCJMRIWOIHJAESLK27DWA7PLZG \
  | 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: 6092c8a2ce41d202496ad7c7607debc9bd2e32524ae7c27f0486827a095302a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e81784fa83261708bc31db04e9bb3d85358ca41d40feafddfa63cd5c2c41932",
    "cross_cats_sorted": [
      "hep-th",
      "math.QA"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-12-18T06:03:40Z",
    "title_canon_sha256": "3ba16a274fc1743c3f4da2b0eaf0fda6b369154eb9d7c24bba41e859b99cebc0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.4234",
    "kind": "arxiv",
    "version": 1
  }
}