Pith Number

pith:CI4HIKGV

pith:2002:CI4HIKGVSLWW3TTV5A52NRV6BI

not attested not anchored not stored refs pending

Critical points of master functions and flag varieties

A. Varchenko, E. Mukhin

arxiv:math/0209017 v1 · 2002-09-02 · 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{CI4HIKGVSLWW3TTV5A52NRV6BI}

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	2026-07-04T14:36:24.593325Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12387428d592ed6dce75e83ba6c6be0a337902b85bd526dd9e61b6a0f95d51ad

Aliases

arxiv: math/0209017 · arxiv_version: math/0209017v1 · doi: 10.48550/arxiv.math/0209017 · pith_short_12: CI4HIKGVSLWW · pith_short_16: CI4HIKGVSLWW3TTV · pith_short_8: CI4HIKGV

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/CI4HIKGVSLWW3TTV5A52NRV6BI \
  | 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: 12387428d592ed6dce75e83ba6c6be0a337902b85bd526dd9e61b6a0f95d51ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f006fe8502d2c889d81e17270524656c1c03d224361645b0c0d712159d58c468",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2002-09-02T15:38:10Z",
    "title_canon_sha256": "76d1d7af6f6ed0d911516de8c450aaf7b5959e5cce634b294b25350f05c87e62"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0209017",
    "kind": "arxiv",
    "version": 1
  }
}