Pith Number

pith:DTD6ECSK

pith:2011:DTD6ECSKPKS6DKP4XJ6GXWQXNO

not attested not anchored not stored refs pending

Extremal problems for the central projection

Shigehiro Sakata

arxiv:1103.4685 v2 · 2011-03-24 · 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{DTD6ECSKPKS6DKP4XJ6GXWQXNO}

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	2026-05-18T00:53:45.710635Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1cc7e20a4a7aa5e1a9fcba7c6bda176b801ff9156d2ea4d125786c8fabe2985f

Aliases

arxiv: 1103.4685 · arxiv_version: 1103.4685v2 · doi: 10.48550/arxiv.1103.4685 · pith_short_12: DTD6ECSKPKS6 · pith_short_16: DTD6ECSKPKS6DKP4 · pith_short_8: DTD6ECSK

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/DTD6ECSKPKS6DKP4XJ6GXWQXNO \
  | 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: 1cc7e20a4a7aa5e1a9fcba7c6bda176b801ff9156d2ea4d125786c8fabe2985f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f66f62bd21ca9c7d2bb897b49071f5b262fa12588ad6a1bd48cbeb620c25637",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-03-24T06:28:48Z",
    "title_canon_sha256": "db142221c9a763909b62d1b16c3a85eb3b32510cf524449e97aaabb17ca2fd08"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.4685",
    "kind": "arxiv",
    "version": 2
  }
}