Pith Number

pith:SA7HRMJC

pith:2017:SA7HRMJCSRPAWA7FGLUDOW3TWR

not attested not anchored not stored refs pending

Decompositions of amplituhedra

Lauren K. Williams, Steven N. Karp, Yan X Zhang

arxiv:1708.09525 v1 · 2017-08-31 · math.CO · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SA7HRMJCSRPAWA7FGLUDOW3TWR}

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.

Cited by

1 paper in Pith

Multi-Loop Negative Geometries

Receipt and verification

First computed	2026-07-05T02:47:37.162264Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

903e78b122945e0b03e532e8375b73b47a496287202ad82353f1c6e2ec850d67

Aliases

arxiv: 1708.09525 · arxiv_version: 1708.09525v1 · doi: 10.48550/arxiv.1708.09525 · pith_short_12: SA7HRMJCSRPA · pith_short_16: SA7HRMJCSRPAWA7F · pith_short_8: SA7HRMJC

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/SA7HRMJCSRPAWA7FGLUDOW3TWR \
  | 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: 903e78b122945e0b03e532e8375b73b47a496287202ad82353f1c6e2ec850d67

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d623a346cf25586aa3c9d40ba8e4fd188423fad749af41338ea2f001f496332",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-08-31T01:23:40Z",
    "title_canon_sha256": "fde4c184f0f810669056496df1f54652972007ffa2eb86a668b02342b283a4b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.09525",
    "kind": "arxiv",
    "version": 1
  }
}