Pith Number

pith:ZX5ZUFL2

pith:2016:ZX5ZUFL2CLTIQIA7TLRGFG5ATT

not attested not anchored not stored refs pending

Yangian Symmetry for the Tree Amplituhedron

Andrea Orta, Livia Ferro, Matteo Parisi, Tomasz Lukowski

arxiv:1612.04378 v2 · 2016-12-13 · 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{ZX5ZUFL2CLTIQIA7TLRGFG5ATT}

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	2026-05-18T00:39:00.770600Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cdfb9a157a12e688201f9ae2629ba09cf351a08ecedc74241ab744a1f8c28ae2

Aliases

arxiv: 1612.04378 · arxiv_version: 1612.04378v2 · doi: 10.48550/arxiv.1612.04378 · pith_short_12: ZX5ZUFL2CLTI · pith_short_16: ZX5ZUFL2CLTIQIA7 · pith_short_8: ZX5ZUFL2

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/ZX5ZUFL2CLTIQIA7TLRGFG5ATT \
  | 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: cdfb9a157a12e688201f9ae2629ba09cf351a08ecedc74241ab744a1f8c28ae2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "88c2e235130bff9d710c014cffff1fd749cebfb8cb0fec79222e94f5191879a7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2016-12-13T21:00:03Z",
    "title_canon_sha256": "1a662c5a284b931c16179701c7074e988f31df9c173bb93979e3c896be06a2de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.04378",
    "kind": "arxiv",
    "version": 2
  }
}