Pith Number

pith:TC6BH2E2

pith:2010:TC6BH2E2D23JK2RLSKNV5K6YNV

not attested not anchored not stored refs pending

Nonexistence of quasi-harmonic sphere with large energy

Jiayu Li, Yunyan Yang

arxiv:1010.2407 v1 · 2010-10-12 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TC6BH2E2D23JK2RLSKNV5K6YNV}

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	2026-05-18T04:39:28.066443Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98bc13e89a1eb6956a2b929b5eabd86d78ad0b845844e72cf7a8d6622484513d

Aliases

arxiv: 1010.2407 · arxiv_version: 1010.2407v1 · doi: 10.48550/arxiv.1010.2407 · pith_short_12: TC6BH2E2D23J · pith_short_16: TC6BH2E2D23JK2RL · pith_short_8: TC6BH2E2

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/TC6BH2E2D23JK2RLSKNV5K6YNV \
  | 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: 98bc13e89a1eb6956a2b929b5eabd86d78ad0b845844e72cf7a8d6622484513d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1081d352e8c95259850006861486030ed6ec945918e869256499e571b61ee4e3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-10-12T14:58:17Z",
    "title_canon_sha256": "d78d0bee72bf891c898911d83b2d95ce9a16b20f9b66e4839a159edbb3cb3bfc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.2407",
    "kind": "arxiv",
    "version": 1
  }
}