Pith Number

pith:HB4C3TCC

pith:2020:HB4C3TCCXIOW4EQELF2MF66EXY

not attested not anchored not stored refs pending

Sharp stability for the interaction energy

Xukai Yan, Yao Yao

arxiv:2008.07502 v1 · 2020-08-17 · math.AP · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HB4C3TCCXIOW4EQELF2MF66EXY}

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	2026-07-05T01:27:40.314722Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38782dcc42ba1d6e12045974c2fbc4be17b6f9e4e9663585aa32caacc56c9ff1

Aliases

arxiv: 2008.07502 · arxiv_version: 2008.07502v1 · doi: 10.48550/arxiv.2008.07502 · pith_short_12: HB4C3TCCXIOW · pith_short_16: HB4C3TCCXIOW4EQE · pith_short_8: HB4C3TCC

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/HB4C3TCCXIOW4EQELF2MF66EXY \
  | 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: 38782dcc42ba1d6e12045974c2fbc4be17b6f9e4e9663585aa32caacc56c9ff1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7d4eee20f2f9ae94cc152c55cdb349331f8c2c3e1e6eff1d3cf6e4149230b37",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2020-08-17T17:49:47Z",
    "title_canon_sha256": "6a5e82c2372cafaa359bb80b72963a433f17a6631583c2cf7dc5555673ac89cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2008.07502",
    "kind": "arxiv",
    "version": 1
  }
}