Pith Number

pith:EUMM4VCN

pith:2017:EUMM4VCNPRXHT4QB2TRSZ6K4KF

not attested not anchored not stored refs pending

Graham Theorem on Bounded Symmetric Domains

Ren-Yu Chen, Song-Ying Li

arxiv:1708.03434 v1 · 2017-08-11 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EUMM4VCNPRXHT4QB2TRSZ6K4KF}

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	2026-05-18T00:38:13.133878Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2518ce544d7c6e79f201d4e32cf95c5156836e1a6429c5e3dc9027aa2a17dbd7

Aliases

arxiv: 1708.03434 · arxiv_version: 1708.03434v1 · doi: 10.48550/arxiv.1708.03434 · pith_short_12: EUMM4VCNPRXH · pith_short_16: EUMM4VCNPRXHT4QB · pith_short_8: EUMM4VCN

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/EUMM4VCNPRXHT4QB2TRSZ6K4KF \
  | 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: 2518ce544d7c6e79f201d4e32cf95c5156836e1a6429c5e3dc9027aa2a17dbd7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd1b5da974ebb6353c97ce823cfecfa2078b1c795c5aebb68807df7fc4246cdc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2017-08-11T05:14:34Z",
    "title_canon_sha256": "eae5ed862f86213b6bcde25945f982dddc8b986398f629fbfa4bd6f0b4842067"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.03434",
    "kind": "arxiv",
    "version": 1
  }
}