Pith Number

pith:HLR47OFB

pith:2009:HLR47OFB3EVHRP6RNYJP2IHQMM

not attested not anchored not stored refs pending

Valuative invariants for polymatroids

Alex Fink, Harm Derksen

arxiv:0908.2988 v2 · 2009-08-20 · 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{HLR47OFB3EVHRP6RNYJP2IHQMM}

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	2026-05-18T04:41:52.797311Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ae3cfb8a1d92a78bfd16e12fd20f0633f267180b44ac6c570ec027cd66f3d7e

Aliases

arxiv: 0908.2988 · arxiv_version: 0908.2988v2 · doi: 10.48550/arxiv.0908.2988 · pith_short_12: HLR47OFB3EVH · pith_short_16: HLR47OFB3EVHRP6R · pith_short_8: HLR47OFB

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/HLR47OFB3EVHRP6RNYJP2IHQMM \
  | 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: 3ae3cfb8a1d92a78bfd16e12fd20f0633f267180b44ac6c570ec027cd66f3d7e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "079213f7f9f37c0a33e7863c9883d5d4c8fbf2e6b559dcb1d3ec7db2296d030c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2009-08-20T19:53:52Z",
    "title_canon_sha256": "23d354e1374695cf635659791c8d6f299c639dcc8e52d4a608768a04bb8f94f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.2988",
    "kind": "arxiv",
    "version": 2
  }
}