Pith Number

pith:ECXUGH4Y

pith:2015:ECXUGH4YQ4FA4ZT7FAE72PZAVK

not attested not anchored not stored refs pending

Effective versions of the positive mass theorem

Alessandro Carlotto, Michael Eichmair, Otis Chodosh

arxiv:1503.05910 v2 · 2015-03-19 · math.DG · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ECXUGH4YQ4FA4ZT7FAE72PZAVK}

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	2026-05-18T00:54:41.702261Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

20af431f98870a0e667f2809fd3f20aa90c95359f4da0f7c37dca5b11bf9ad5e

Aliases

arxiv: 1503.05910 · arxiv_version: 1503.05910v2 · doi: 10.48550/arxiv.1503.05910 · pith_short_12: ECXUGH4YQ4FA · pith_short_16: ECXUGH4YQ4FA4ZT7 · pith_short_8: ECXUGH4Y

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/ECXUGH4YQ4FA4ZT7FAE72PZAVK \
  | 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: 20af431f98870a0e667f2809fd3f20aa90c95359f4da0f7c37dca5b11bf9ad5e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f59062d941c1ce48ae39ebc9876fcc10dcea7dab7a63918e74e0afe37642feeb",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-03-19T19:47:20Z",
    "title_canon_sha256": "777bd2631495b7321d7eaa882bf33e64efae68ab9ad08cca5b5b6f236dc6ce6e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.05910",
    "kind": "arxiv",
    "version": 2
  }
}