Pith Number

pith:TTYJATWO

pith:2012:TTYJATWOQ77AC6NRKMA57K4YKY

not attested not anchored not stored refs pending

Degeneracy Loci, Pfaffians, and Vexillary Signed Permutations in Types B, C, and D

David Anderson, William Fulton

arxiv:1210.2066 v1 · 2012-10-07 · math.AG · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TTYJATWOQ77AC6NRKMA57K4YKY}

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	2026-05-18T03:43:51.198779Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9cf0904ece87fe0179b15301dfab985632afb61d3cea594d9c28f8a9f983c611

Aliases

arxiv: 1210.2066 · arxiv_version: 1210.2066v1 · doi: 10.48550/arxiv.1210.2066 · pith_short_12: TTYJATWOQ77A · pith_short_16: TTYJATWOQ77AC6NR · pith_short_8: TTYJATWO

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/TTYJATWOQ77AC6NRKMA57K4YKY \
  | 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: 9cf0904ece87fe0179b15301dfab985632afb61d3cea594d9c28f8a9f983c611

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1d3e76bf9e85d3464c928d8016bc7bf7378cdecb9c0b1ed5f377b129c7dbd65",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-10-07T15:20:42Z",
    "title_canon_sha256": "3b1c9f6893af52f08f0a45fa6cd7da084b3f7aa45e76f4d698d0cc2d1f157f85"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.2066",
    "kind": "arxiv",
    "version": 1
  }
}