Pith Number

pith:H2Y4SPTS

pith:2009:H2Y4SPTS34BK6MRNS52COCJ36X

not attested not anchored not stored refs pending

Vanishing Cycles and Wild Monodromy

Andrew Obus

arxiv:0910.0676 v3 · 2009-10-05 · 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{H2Y4SPTS34BK6MRNS52COCJ36X}

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	2026-05-18T03:46:05.611487Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3eb1c93e72df02af322d977427093bf5f4599d5020af17fee10e15ca8f4027d8

Aliases

arxiv: 0910.0676 · arxiv_version: 0910.0676v3 · doi: 10.48550/arxiv.0910.0676 · pith_short_12: H2Y4SPTS34BK · pith_short_16: H2Y4SPTS34BK6MRN · pith_short_8: H2Y4SPTS

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/H2Y4SPTS34BK6MRNS52COCJ36X \
  | 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: 3eb1c93e72df02af322d977427093bf5f4599d5020af17fee10e15ca8f4027d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4fb3793f7754196bacf8ffef502ded0dc3ad82fc40e9e546c5aa5d2ab124389e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-10-05T05:22:26Z",
    "title_canon_sha256": "fe13fe5b369926fc829fde9d3a62de4f888dc006ef877e25cc89a8de14091014"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.0676",
    "kind": "arxiv",
    "version": 3
  }
}