Pith Number

pith:5MVGTBYN

pith:2003:5MVGTBYNERVM4MSPHPYBO2POLD

not attested not anchored not stored refs pending

Mirror Symmetry via Logarithmic Degeneration Data I

Bernd Siebert, Mark Gross

arxiv:math/0309070 v3 · 2003-09-04 · math.AG · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5MVGTBYNERVM4MSPHPYBO2POLD}

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	2026-07-04T14:37:41.697988Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb2a69870d246ace324f3bf01769ee58ea800d6442076aad73bbccef43ff26f8

Aliases

arxiv: math/0309070 · arxiv_version: math/0309070v3 · doi: 10.48550/arxiv.math/0309070 · pith_short_12: 5MVGTBYNERVM · pith_short_16: 5MVGTBYNERVM4MSP · pith_short_8: 5MVGTBYN

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/5MVGTBYNERVM4MSPHPYBO2POLD \
  | 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: eb2a69870d246ace324f3bf01769ee58ea800d6442076aad73bbccef43ff26f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d82b82762912245a40997bcb71f11d2b2652a76693bec6ae8f7f024b5be02afc",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2003-09-04T13:18:07Z",
    "title_canon_sha256": "71125303c5b13a42def5493101995e6b755296caa750d48ef88785f2afefec95"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0309070",
    "kind": "arxiv",
    "version": 3
  }
}