Pith Number

pith:MFXHZVO5

pith:1997:MFXHZVO5QJ6QJAMW4E2PZBWQ2G

not attested not anchored not stored refs pending

Extended Linial Hyperplane Arrangements for Root Systems and a Conjecture of Postnikov and Stanley

Christos A. Athanasiadis

arxiv:math/9705223 v1 · 1997-05-29 · 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{MFXHZVO5QJ6QJAMW4E2PZBWQ2G}

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	2026-05-18T01:05:35.294729Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

616e7cd5dd827d048196e134fc86d0d1b32a68dda458292a296a369e7a524a98

Aliases

arxiv: math/9705223 · arxiv_version: math/9705223v1 · doi: 10.48550/arxiv.math/9705223 · pith_short_12: MFXHZVO5QJ6Q · pith_short_16: MFXHZVO5QJ6QJAMW · pith_short_8: MFXHZVO5

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/MFXHZVO5QJ6QJAMW4E2PZBWQ2G \
  | 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: 616e7cd5dd827d048196e134fc86d0d1b32a68dda458292a296a369e7a524a98

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c3ad4cbb57a4c99754f8ab77ce8c720b186ddd20036990d07443005ecc7797e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "1997-05-29T00:00:00Z",
    "title_canon_sha256": "3ec82c68e263a0b0d45149a6a51abe165c33c17e483c9b10f9a800f469b13fec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9705223",
    "kind": "arxiv",
    "version": 1
  }
}