Pith Number

pith:L2GGA6F5

pith:2012:L2GGA6F57H2H7J2KYCHB242H27

not attested not anchored not stored refs pending

0-Hecke algebra actions on coinvariants and flags

Jia Huang

arxiv:1211.3349 v2 · 2012-11-14 · 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{L2GGA6F57H2H7J2KYCHB242H27}

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	2026-05-18T03:38:34.081850Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e8c6078bdf9f47fa74ac08e1d7347d7d047de25eba91558603c7ca8af9f7744

Aliases

arxiv: 1211.3349 · arxiv_version: 1211.3349v2 · doi: 10.48550/arxiv.1211.3349 · pith_short_12: L2GGA6F57H2H · pith_short_16: L2GGA6F57H2H7J2K · pith_short_8: L2GGA6F5

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/L2GGA6F57H2H7J2KYCHB242H27 \
  | 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: 5e8c6078bdf9f47fa74ac08e1d7347d7d047de25eba91558603c7ca8af9f7744

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d655e292ef9b434d92853955e7f742ccd4600dca20f2a978be3b34b41257696",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-11-14T16:22:47Z",
    "title_canon_sha256": "13aba2160338a7796412d566f4e91564b6f89e95a50a94f14afbd5036d5ad467"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.3349",
    "kind": "arxiv",
    "version": 2
  }
}