Pith Number

pith:W4QNJRXV

pith:2016:W4QNJRXVSG5ANRGFDVPB2X3PX6

not attested not anchored not stored refs pending

The geometry and combinatorics of Springer fibers

Julianna Tymoczko

arxiv:1606.02760 v1 · 2016-06-08 · math.AG · math.CO · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W4QNJRXVSG5ANRGFDVPB2X3PX6}

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	2026-05-18T01:12:40.076275Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b720d4c6f591ba06c4c51d5e1d5f6fbfb1e393f701e73d6e1ead32dfd0d3fb1a

Aliases

arxiv: 1606.02760 · arxiv_version: 1606.02760v1 · doi: 10.48550/arxiv.1606.02760 · pith_short_12: W4QNJRXVSG5A · pith_short_16: W4QNJRXVSG5ANRGF · pith_short_8: W4QNJRXV

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/W4QNJRXVSG5ANRGFDVPB2X3PX6 \
  | 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: b720d4c6f591ba06c4c51d5e1d5f6fbfb1e393f701e73d6e1ead32dfd0d3fb1a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce07e7032aee464f784eddfa49e8f7c66d7b1efe54854c06d8e064daeca2b681",
    "cross_cats_sorted": [
      "math.CO",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-06-08T21:09:39Z",
    "title_canon_sha256": "eb5f5d223994e1540754edc8fd2c17cf17a308fbe26b15f893247802712e1d79"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.02760",
    "kind": "arxiv",
    "version": 1
  }
}