Pith Number

pith:ZDMJTNM7

pith:2011:ZDMJTNM7HVCSDGVPRS6NSEXPWO

not attested not anchored not stored refs pending

Exceptional Sequences of Line Bundles and Spherical Twists - a Toric Example

Andreas Hochenegger

arxiv:1108.3734 v1 · 2011-08-18 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZDMJTNM7HVCSDGVPRS6NSEXPWO}

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	2026-05-18T00:26:02.697451Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8d899b59f3d45219aaf8cbcd912efb3a623a23de850372a2d24badcb6be0d19

Aliases

arxiv: 1108.3734 · arxiv_version: 1108.3734v1 · doi: 10.48550/arxiv.1108.3734 · pith_short_12: ZDMJTNM7HVCS · pith_short_16: ZDMJTNM7HVCSDGVP · pith_short_8: ZDMJTNM7

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/ZDMJTNM7HVCSDGVPRS6NSEXPWO \
  | 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: c8d899b59f3d45219aaf8cbcd912efb3a623a23de850372a2d24badcb6be0d19

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c74fc79902d7af5469d3e95a85e3b557376bca0629a7af0094ea15a65ee05f2a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-08-18T12:13:51Z",
    "title_canon_sha256": "1c3ad208278fa55029fec55a5e41c4c9c338eebeba35aa91b094b2d295478a4b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.3734",
    "kind": "arxiv",
    "version": 1
  }
}