Pith Number

pith:TBNQUAMT

pith:2021:TBNQUAMT7C6RLLL6POJZPM7Z73

not attested not anchored not stored refs pending

Kinematic numerators from the worldsheet: cubic trees from labelled trees

Jintian Tian, Linghui Hou, Song He, Yong Zhang

arxiv:2103.15810 v3 · 2021-03-29 · 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{TBNQUAMT7C6RLLL6POJZPM7Z73}

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	2026-07-05T08:54:39.941871Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

985b0a0193f8bd15ad7e7b9397b3f9fed456f708a257a832e06103cc27547d73

Aliases

arxiv: 2103.15810 · arxiv_version: 2103.15810v3 · doi: 10.48550/arxiv.2103.15810 · pith_short_12: TBNQUAMT7C6R · pith_short_16: TBNQUAMT7C6RLLL6 · pith_short_8: TBNQUAMT

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/TBNQUAMT7C6RLLL6POJZPM7Z73 \
  | 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: 985b0a0193f8bd15ad7e7b9397b3f9fed456f708a257a832e06103cc27547d73

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3a19dcd402b51e42bba2b16924ea80f82cec18505ff4cecbe7be8a1330965fd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2021-03-29T17:58:49Z",
    "title_canon_sha256": "f552225c8bf7f5bb84525b12420cbbb565e1d755b443bf1be9588cb16db361c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.15810",
    "kind": "arxiv",
    "version": 3
  }
}