Pith Number

pith:ZWXYY3TM

pith:2000:ZWXYY3TMAAP453P2BBA6BL3JTB

not attested not anchored not stored refs pending

Group representations and the Euler characteristic of elliptically fibered Calabi-Yau threefolds

Antonella Grassi, David R. Morrison

arxiv:math/0005196 v1 · 2000-05-19 · math.AG · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZWXYY3TMAAP453P2BBA6BL3JTB}

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	2026-05-18T01:05:38.602958Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cdaf8c6e6c001fceedfa0841e0af69986da10e299b9bc6dc243221e351a0b693

Aliases

arxiv: math/0005196 · arxiv_version: math/0005196v1 · doi: 10.48550/arxiv.math/0005196 · pith_short_12: ZWXYY3TMAAP4 · pith_short_16: ZWXYY3TMAAP453P2 · pith_short_8: ZWXYY3TM

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/ZWXYY3TMAAP453P2BBA6BL3JTB \
  | 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: cdaf8c6e6c001fceedfa0841e0af69986da10e299b9bc6dc243221e351a0b693

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50d81a25db1ce577a88b89ab2dbb3026962952056eb56d47080a8aec07fb78e0",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2000-05-19T20:28:52Z",
    "title_canon_sha256": "c2783b54dfe66b0970e336d7713c8f8a4c85b458296ce094e6835b6f64a90a92"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0005196",
    "kind": "arxiv",
    "version": 1
  }
}