Pith Number

pith:K5OBUVC3

pith:2011:K5OBUVC32GVUJ5OVDFYE6FKZD7

not attested not anchored not stored refs pending

Contractibility of the space of rational maps

Dennis Gaitsgory

arxiv:1108.1741 v3 · 2011-08-08 · math.AG · math.AT · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K5OBUVC32GVUJ5OVDFYE6FKZD7}

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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.

Cited by

1 paper in Pith

Parabolic geometric Eisenstein series and constant term functors

Receipt and verification

First computed	2026-05-18T04:01:37.988474Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

575c1a545bd1ab44f5d519704f15591fcf2542ba5ef0658dfc88f56bc2ef9011

Aliases

arxiv: 1108.1741 · arxiv_version: 1108.1741v3 · doi: 10.48550/arxiv.1108.1741 · pith_short_12: K5OBUVC32GVU · pith_short_16: K5OBUVC32GVUJ5OV · pith_short_8: K5OBUVC3

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/K5OBUVC32GVUJ5OVDFYE6FKZD7 \
  | 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: 575c1a545bd1ab44f5d519704f15591fcf2542ba5ef0658dfc88f56bc2ef9011

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "691066f128b54efa5325ec32eecafd569f0a5ef9fc3bf7acde167b5380c1c529",
    "cross_cats_sorted": [
      "math.AT",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-08-08T16:20:59Z",
    "title_canon_sha256": "99da26cabb5742f46a36dd36fb614b94c9ef06c5322289b6533b50754046f817"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.1741",
    "kind": "arxiv",
    "version": 3
  }
}