Pith Number

pith:DBMTPE6Z

pith:2010:DBMTPE6ZVJRSX423LTZQYTJMWF

not attested not anchored not stored refs pending

Harmonic maps into conic surfaces with cone angles less than $2\pi$

Jesse Gell-Redman

arxiv:1010.4156 v2 · 2010-10-20 · math.AP · 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{DBMTPE6ZVJRSX423LTZQYTJMWF}

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	2026-05-18T04:16:32.135476Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

18593793d9aa632bf35b5cf30c4d2cb15c3cf5782e1cfd862d1c5ba14553090b

Aliases

arxiv: 1010.4156 · arxiv_version: 1010.4156v2 · doi: 10.48550/arxiv.1010.4156 · pith_short_12: DBMTPE6ZVJRS · pith_short_16: DBMTPE6ZVJRSX423 · pith_short_8: DBMTPE6Z

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/DBMTPE6ZVJRSX423LTZQYTJMWF \
  | 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: 18593793d9aa632bf35b5cf30c4d2cb15c3cf5782e1cfd862d1c5ba14553090b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a3759bcf66042208b012f6b0b6df4b01bd60c9d501f9e0e799446ce38a494d8",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-10-20T10:50:33Z",
    "title_canon_sha256": "a0e078088eb32ba137aaeeaed18802a5fabbe7ed96c33e00019443445890cb64"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.4156",
    "kind": "arxiv",
    "version": 2
  }
}